105617070514400 has 72 divisors (see below), whose sum is σ = 257839588928880. Its totient is φ = 42246514344960.

The previous prime is 105617070514343. The next prime is 105617070514421. The reversal of 105617070514400 is 4415070716501.

It is a happy number.

It is a super-2 number, since 2×105617070514400² (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 11 ways as a sum of consecutive naturals, for example, 128427716 + ... + 129247484.

It is an arithmetic number, because the mean of its divisors is an integer number (3581105401790).

Almost surely, 2^{105617070514400} is an apocalyptic number.

105617070514400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105617070514400 is an abundant number, since it is smaller than the sum of its proper divisors (152222518414480).

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

105617070514400 is a wasteful number, since it uses less digits than its factorization.

105617070514400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980836 (or 980823 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 41.

The spelling of 105617070514400 in words is "one hundred five trillion, six hundred seventeen billion, seventy million, five hundred fourteen thousand, four hundred".