105120344102500 has 60 divisors (see below), whose sum is σ = 233773392006000. Its totient is φ = 41335457284000.

The previous prime is 105120344102483. The next prime is 105120344102567. The reversal of 105120344102500 is 5201443021501.

It is a super-2 number, since 2×105120344102500² (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 19 ways as a sum of consecutive naturals, for example, 356192650 + ... + 356487649.

It is an arithmetic number, because the mean of its divisors is an integer number (3896223200100).

Almost surely, 2^{105120344102500} is an apocalyptic number.

105120344102500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105120344102500 is an abundant number, since it is smaller than the sum of its proper divisors (128653047903500).

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

105120344102500 is an equidigital number, since it uses as much as digits as its factorization.

105120344102500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712680382 (or 712680365 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 105120344102500 in words is "one hundred five trillion, one hundred twenty billion, three hundred forty-four million, one hundred two thousand, five hundred".