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106423800 = 23352725339
BaseRepresentation
bin1100101011111…
…10010111111000
321102020220000020
412111332113320
5204221030200
614321010440
72431405320
oct625762770
9242226006
10106423800
115508985a
122b783a20
1319082682
14101c4280
159522ea0
hex657e5f8

106423800 has 96 divisors (see below), whose sum is σ = 377059200. Its totient is φ = 24324480.

The previous prime is 106423789. The next prime is 106423819. The reversal of 106423800 is 8324601.

It is a happy number.

It is a super-2 number, since 2×1064238002 = 22652050412880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8470 + ... + 16869.

It is an arithmetic number, because the mean of its divisors is an integer number (3927700).

Almost surely, 2106423800 is an apocalyptic number.

106423800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106423800 is an abundant number, since it is smaller than the sum of its proper divisors (270635400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106423800 is a wasteful number, since it uses less digits than its factorization.

106423800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25365 (or 25356 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 106423800 is about 10316.1911575930. The cubic root of 106423800 is about 473.8922292329.

The spelling of 106423800 in words is "one hundred six million, four hundred twenty-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 25339 50678 76017 101356 126695 152034 177373 202712 253390 304068 354746 380085 506780 532119 608136 633475 709492 760170 886865 1013560 1064238 1266950 1418984 1520340 1773730 1900425 2128476 2533900 2660595 3040680 3547460 3800850 4256952 4434325 5067800 5321190 7094920 7601700 8868650 10642380 13302975 15203400 17737300 21284760 26605950 35474600 53211900 106423800