[go: up one dir, main page]

Search a number
-
+
105135500 = 2253375683
BaseRepresentation
bin1100100010000…
…11110110001100
321022211102210102
412101003312030
5203403314000
614233230232
72414431331
oct621036614
9238742712
10105135500
1154389948
122b262378
1318a21172
14dd6a988
15936b3d5
hex6443d8c

105135500 has 48 divisors (see below), whose sum is σ = 235863264. Its totient is φ = 40910400.

The previous prime is 105135449. The next prime is 105135523. The reversal of 105135500 is 5531501.

It is a happy number.

It is a super-2 number, since 2×1051355002 = 22106946720500000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15659 + ... + 21341.

It is an arithmetic number, because the mean of its divisors is an integer number (4913818).

Almost surely, 2105135500 is an apocalyptic number.

105135500 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 105135500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117931632).

105135500 is an abundant number, since it is smaller than the sum of its proper divisors (130727764).

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

105135500 is a wasteful number, since it uses less digits than its factorization.

105135500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5739 (or 5727 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 20.

The square root of 105135500 is about 10253.5603572613. The cubic root of 105135500 is about 471.9722465248.

The spelling of 105135500 in words is "one hundred five million, one hundred thirty-five thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 125 148 185 250 370 500 740 925 1850 3700 4625 5683 9250 11366 18500 22732 28415 56830 113660 142075 210271 284150 420542 568300 710375 841084 1051355 1420750 2102710 2841500 4205420 5256775 10513550 21027100 26283875 52567750 105135500