105987461700 has 36 divisors (see below), whose sum is σ = 306657056720. Its totient is φ = 28263323040.

The previous prime is 105987461669. The next prime is 105987461731. The reversal of 105987461700 is 7164789501.

It is an interprime number because it is at equal distance from previous prime (105987461669) and next prime (105987461731).

It is a super-2 number, since 2×105987461700² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105987461700.

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, 176645470 + ... + 176646069.

Almost surely, 2^105987461700 is an apocalyptic number.

105987461700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105987461700 is an abundant number, since it is smaller than the sum of its proper divisors (200669595020).

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

105987461700 is a wasteful number, since it uses less digits than its factorization.

105987461700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353291556 (or 353291549 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 105987461700 in words is "one hundred five billion, nine hundred eighty-seven million, four hundred sixty-one thousand, seven hundred".