105010051680 has 72 divisors (see below), whose sum is σ = 358346806272. Its totient is φ = 28002680064.

The previous prime is 105010051673. The next prime is 105010051697. The reversal of 105010051680 is 86150010501.

105010051680 is a `hidden beast` number, since 10 + 50 + 10 + 0 + 516 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105010051680² (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 11 ways as a sum of consecutive naturals, for example, 36460384 + ... + 36463263.

It is an arithmetic number, because the mean of its divisors is an integer number (4977038976).

Almost surely, 2^105010051680 is an apocalyptic number.

105010051680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105010051680 is an abundant number, since it is smaller than the sum of its proper divisors (253336754592).

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

105010051680 is a wasteful number, since it uses less digits than its factorization.

105010051680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72923668 (or 72923657 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The spelling of 105010051680 in words is "one hundred five billion, ten million, fifty-one thousand, six hundred eighty".