105016731801600 has 288 divisors, whose sum is σ = 348045234460560. Its totient is φ = 27933905387520.

The previous prime is 105016731801593. The next prime is 105016731801623. The reversal of 105016731801600 is 6108137610501.

It is a super-2 number, since 2×105016731801600² (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 23 ways as a sum of consecutive naturals, for example, 60118114 + ... + 61840286.

Almost surely, 2^{105016731801600} is an apocalyptic number.

105016731801600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105016731801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174022617230280).

105016731801600 is an abundant number, since it is smaller than the sum of its proper divisors (243028502658960).

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

105016731801600 is a wasteful number, since it uses less digits than its factorization.

105016731801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722605 (or 1722580 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 105016731801600 in words is "one hundred five trillion, sixteen billion, seven hundred thirty-one million, eight hundred one thousand, six hundred".