105106000610500 has 96 divisors (see below), whose sum is σ = 245374250704128. Its totient is φ = 39233628896000.

The previous prime is 105106000610329. The next prime is 105106000610543. The reversal of 105106000610500 is 5016000601501.

It is a super-2 number, since 2×105106000610500² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 110987674 + ... + 111930673.

It is an arithmetic number, because the mean of its divisors is an integer number (2555981778168).

Almost surely, 2^{105106000610500} is an apocalyptic number.

105106000610500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105106000610500 is an abundant number, since it is smaller than the sum of its proper divisors (140268250093628).

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

105106000610500 is a wasteful number, since it uses less digits than its factorization.

105106000610500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222918430 (or 222918418 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 105106000610500 in words is "one hundred five trillion, one hundred six billion, six hundred ten thousand, five hundred".