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106256034 = 232311091747
BaseRepresentation
bin1100101010101…
…01011010100010
321101221100212200
412111111122202
5204200143114
614313234030
72430106233
oct625253242
9241840780
10106256034
1154a84805
122b702916
13190241c1
141017d08a
1594dd409
hex65556a2

106256034 has 48 divisors (see below), whose sum is σ = 239965440. Its totient is φ = 33942240.

The previous prime is 106256023. The next prime is 106256039. The reversal of 106256034 is 430652601.

106256034 is a `hidden beast` number, since 1 + 0 + 625 + 6 + 0 + 34 = 666.

It is a super-2 number, since 2×1062560342 = 22580689522818312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106255989 and 106256007.

It is not an unprimeable number, because it can be changed into a prime (106256039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59949 + ... + 61695.

It is an arithmetic number, because the mean of its divisors is an integer number (4999280).

Almost surely, 2106256034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106256034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119982720).

106256034 is an abundant number, since it is smaller than the sum of its proper divisors (133709406).

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

106256034 is a wasteful number, since it uses less digits than its factorization.

106256034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 106256034 is about 10308.0567518810. The cubic root of 106256034 is about 473.6430844100.

The spelling of 106256034 in words is "one hundred six million, two hundred fifty-six thousand, thirty-four".

Divisors: 1 2 3 6 9 18 31 62 93 109 186 218 279 327 558 654 981 1747 1962 3379 3494 5241 6758 10137 10482 15723 20274 30411 31446 54157 60822 108314 162471 190423 324942 380846 487413 571269 974826 1142538 1713807 3427614 5903113 11806226 17709339 35418678 53128017 106256034