105329616372 has 18 divisors (see below), whose sum is σ = 266249863698. Its totient is φ = 35109872112.

The previous prime is 105329616367. The next prime is 105329616383. The reversal of 105329616372 is 273616923501.

105329616372 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 2 + 9 + 6 + 1 + 637 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 105263909136 + 65707236 = 324444^2 + 8106^2 .

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

It is a super-2 number, since 2×105329616372² (a number of 23 digits) 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 5 ways as a sum of consecutive naturals, for example, 1462911303 + ... + 1462911374.

Almost surely, 2^105329616372 is an apocalyptic number.

105329616372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105329616372 is an abundant number, since it is smaller than the sum of its proper divisors (160920247326).

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

105329616372 is a wasteful number, since it uses less digits than its factorization.

105329616372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2925822687 (or 2925822682 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 105329616372 in words is "one hundred five billion, three hundred twenty-nine million, six hundred sixteen thousand, three hundred seventy-two".