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106045596 = 22322945711
BaseRepresentation
bin1100101001000…
…10000010011100
321101112200012200
412110202002130
5204121424341
614304531500
72425241556
oct624420234
9241480180
10106045596
1154950698
122b620b90
1318c7c497
14101264d6
15949adb6
hex652209c

106045596 has 18 divisors (see below), whose sum is σ = 268059792. Its totient is φ = 35348520.

The previous prime is 106045579. The next prime is 106045601. The reversal of 106045596 is 695540601.

106045596 is a `hidden beast` number, since 1 + 0 + 60 + 4 + 5 + 596 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1060455962 = 22491336861990432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2945711 = 106045596 / (1 + 0 + 6 + 0 + 4 + 5 + 5 + 9 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 106045596.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1472820 + ... + 1472891.

Almost surely, 2106045596 is an apocalyptic number.

It is an amenable number.

106045596 is an abundant number, since it is smaller than the sum of its proper divisors (162014196).

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

106045596 is a wasteful number, since it uses less digits than its factorization.

106045596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2945721 (or 2945716 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 106045596 is about 10297.8442404224. The cubic root of 106045596 is about 473.3301974709.

It can be divided in two parts, 1060 and 45596, that added together give a 6-th power (46656 = 66).

The spelling of 106045596 in words is "one hundred six million, forty-five thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 2945711 5891422 8837133 11782844 17674266 26511399 35348532 53022798 106045596