105151635624030 has 32 divisors (see below), whose sum is σ = 252445782328704. Its totient is φ = 28031340962976.

The previous prime is 105151635624001. The next prime is 105151635624041. The reversal of 105151635624030 is 30426536151501.

It is a happy number.

It is a super-2 number, since 2×105151635624030² (a number of 29 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 15 ways as a sum of consecutive naturals, for example, 568356184 + ... + 568541163.

It is an arithmetic number, because the mean of its divisors is an integer number (7888930697772).

Almost surely, 2^{105151635624030} is an apocalyptic number.

105151635624030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105151635624030 is an abundant number, since it is smaller than the sum of its proper divisors (147294146704674).

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

105151635624030 is a wasteful number, since it uses less digits than its factorization.

105151635624030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136900440.

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 105151635624030 in words is "one hundred five trillion, one hundred fifty-one billion, six hundred thirty-five million, six hundred twenty-four thousand, thirty".