10105465032 has 48 divisors (see below), whose sum is σ = 29474275740. Its totient is φ = 3109373568.

The previous prime is 10105464979. The next prime is 10105465043. The reversal of 10105465032 is 23056450101.

10105465032 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 5 + 4 + 650 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8861209956 + 1244255076 = 94134^2 + 35274^2 .

It is a super-2 number, since 2×10105465032² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10105464987 and 10105465005.

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, 5397283 + ... + 5399154.

Almost surely, 2^10105465032 is an apocalyptic number.

10105465032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10105465032 is an abundant number, since it is smaller than the sum of its proper divisors (19368810708).

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

10105465032 is a wasteful number, since it uses less digits than its factorization.

10105465032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10796462 (or 10796455 counting only the distinct ones).

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

The spelling of 10105465032 in words is "ten billion, one hundred five million, four hundred sixty-five thousand, thirty-two".