105437730401864 has 128 divisors (see below), whose sum is σ = 227652052193280. Its totient is φ = 44846016768000.

The previous prime is 105437730401849. The next prime is 105437730401881. The reversal of 105437730401864 is 468104037734501.

It is a happy number.

It is a super-2 number, since 2×105437730401864² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9094942052 + ... + 9094953644.

It is an arithmetic number, because the mean of its divisors is an integer number (1778531657760).

Almost surely, 2^{105437730401864} is an apocalyptic number.

105437730401864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105437730401864 is an abundant number, since it is smaller than the sum of its proper divisors (122214321791416).

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

105437730401864 is a wasteful number, since it uses less digits than its factorization.

105437730401864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13711 (or 13707 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 53.

The spelling of 105437730401864 in words is "one hundred five trillion, four hundred thirty-seven billion, seven hundred thirty million, four hundred one thousand, eight hundred sixty-four".