105879096 has 64 divisors (see below), whose sum is σ = 309600000. Its totient is φ = 33434208.

The previous prime is 105879091. The next prime is 105879101. The reversal of 105879096 is 690978501.

It is an interprime number because it is at equal distance from previous prime (105879091) and next prime (105879101).

It is a super-2 number, since 2×105879096² = 22420765939554432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105879091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8796 + ... + 17003.

It is an arithmetic number, because the mean of its divisors is an integer number (4837500).

Almost surely, 2^105879096 is an apocalyptic number.

It is an amenable number.

105879096 is an abundant number, since it is smaller than the sum of its proper divisors (203720904).

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

105879096 is a wasteful number, since it uses less digits than its factorization.

105879096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25833 (or 25823 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 105879096 is about 10289.7568484391. The cubic root of 105879096 is about 473.0823457210.

It can be divided in two parts, 10587 and 9096, that added together give a 9-th power (19683 = 3⁹).

The spelling of 105879096 in words is "one hundred five million, eight hundred seventy-nine thousand, ninety-six".