105061106000500 has 96 divisors (see below), whose sum is σ = 255074809586688. Its totient is φ = 37540444752000.

The previous prime is 105061106000447. The next prime is 105061106000509. The reversal of 105061106000500 is 5000601160501.

It is a super-2 number, since 2×105061106000500² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105061106000509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260496034 + ... + 260899033.

It is an arithmetic number, because the mean of its divisors is an integer number (2657029266528).

Almost surely, 2^{105061106000500} is an apocalyptic number.

105061106000500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105061106000500 is an abundant number, since it is smaller than the sum of its proper divisors (150013703586188).

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

105061106000500 is a wasteful number, since it uses less digits than its factorization.

105061106000500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521395130 (or 521395118 counting only the distinct ones).

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

The spelling of 105061106000500 in words is "one hundred five trillion, sixty-one billion, one hundred six million, five hundred", and thus it is an aban number.