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106107156 = 22324217001
BaseRepresentation
bin1100101001100…
…01000100010100
321101122210122200
412110301010110
5204130412111
614310124500
72425616211
oct624610424
9241583580
10106107156
1154992971
122b650730
1318ca14cc
1410140b08
1594ae256
hex6531114

106107156 has 36 divisors (see below), whose sum is σ = 268890804. Its totient is φ = 35280000.

The previous prime is 106107137. The next prime is 106107161. The reversal of 106107156 is 651701601.

It can be written as a sum of positive squares in 2 ways, for example, as 15210000 + 90897156 = 3900^2 + 9534^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1061071562 = 22517457108816672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11656 + ... + 18656.

It is an arithmetic number, because the mean of its divisors is an integer number (7469189).

Almost surely, 2106107156 is an apocalyptic number.

It is an amenable number.

106107156 is an abundant number, since it is smaller than the sum of its proper divisors (162783648).

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

106107156 is a wasteful number, since it uses less digits than its factorization.

106107156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7432 (or 7427 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 106107156 is about 10300.8327818677. The cubic root of 106107156 is about 473.4217699378.

Adding to 106107156 its reverse (651701601), we get a palindrome (757808757).

It can be divided in two parts, 10610 and 7156, that added together give a triangular number (17766 = T188).

The spelling of 106107156 in words is "one hundred six million, one hundred seven thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 421 842 1263 1684 2526 3789 5052 7001 7578 14002 15156 21003 28004 42006 63009 84012 126018 252036 2947421 5894842 8842263 11789684 17684526 26526789 35369052 53053578 106107156