105402113532 has 18 divisors (see below), whose sum is σ = 266433120408. Its totient is φ = 35134037832.

The previous prime is 105402113507. The next prime is 105402113533. The reversal of 105402113532 is 235311204501.

105402113532 is a `hidden beast` number, since 1 + 0 + 540 + 2 + 113 + 5 + 3 + 2 = 666.

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

It is a super-2 number, since 2×105402113532² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105402113496 and 105402113505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105402113533) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1463918208 + ... + 1463918279.

Almost surely, 2^105402113532 is an apocalyptic number.

105402113532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105402113532 is an abundant number, since it is smaller than the sum of its proper divisors (161031006876).

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

105402113532 is a wasteful number, since it uses less digits than its factorization.

105402113532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927836497 (or 2927836492 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 105402113532 in words is "one hundred five billion, four hundred two million, one hundred thirteen thousand, five hundred thirty-two".