105495597812400 has 240 divisors, whose sum is σ = 348851952522240. Its totient is φ = 27223642137600.

The previous prime is 105495597812387. The next prime is 105495597812443. The reversal of 105495597812400 is 4218795594501.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×105495597812400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1780697179 + ... + 1780756421.

It is an arithmetic number, because the mean of its divisors is an integer number (1453549802176).

Almost surely, 2^{105495597812400} is an apocalyptic number.

105495597812400 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 105495597812400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174425976261120).

105495597812400 is an abundant number, since it is smaller than the sum of its proper divisors (243356354709840).

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

105495597812400 is a wasteful number, since it uses less digits than its factorization.

105495597812400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107164 (or 107153 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 60.

The spelling of 105495597812400 in words is "one hundred five trillion, four hundred ninety-five billion, five hundred ninety-seven million, eight hundred twelve thousand, four hundred".