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106246100 = 225219199281
BaseRepresentation
bin1100101010100…
…10111111010100
321101220212020202
412111102333110
5204144333400
614313120032
72430035252
oct625227724
9241825222
10106246100
1154a782a4
122b6b9018
131901c81c
14101795d2
1594da4d5
hex6552fd4

106246100 has 72 divisors (see below), whose sum is σ = 244776000. Its totient is φ = 39916800.

The previous prime is 106246099. The next prime is 106246117. The reversal of 106246100 is 1642601.

It is a happy number.

It is a super-2 number, since 2×1062461002 = 22576467530420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377960 + ... + 378240.

Almost surely, 2106246100 is an apocalyptic number.

106246100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106246100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122388000).

106246100 is an abundant number, since it is smaller than the sum of its proper divisors (138529900).

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

106246100 is a wasteful number, since it uses less digits than its factorization.

106246100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 106246100 is about 10307.5748845206. The cubic root of 106246100 is about 473.6283234693.

Adding to 106246100 its reverse (1642601), we get a palindrome (107888701).

The spelling of 106246100 in words is "one hundred six million, two hundred forty-six thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 199 281 380 398 475 562 796 950 995 1124 1405 1900 1990 2810 3781 3980 4975 5339 5620 7025 7562 9950 10678 14050 15124 18905 19900 21356 26695 28100 37810 53390 55919 75620 94525 106780 111838 133475 189050 223676 266950 279595 378100 533900 559190 1062461 1118380 1397975 2124922 2795950 4249844 5312305 5591900 10624610 21249220 26561525 53123050 106246100