105106100600 has 48 divisors (see below), whose sum is σ = 258746497200. Its totient is φ = 39569354240.

The previous prime is 105106100591. The next prime is 105106100621. The reversal of 105106100600 is 6001601501.

It is a happy number.

It is a super-2 number, since 2×105106100600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15453380 + ... + 15460179.

It is an arithmetic number, because the mean of its divisors is an integer number (5390552025).

Almost surely, 2^105106100600 is an apocalyptic number.

105106100600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105106100600 is an abundant number, since it is smaller than the sum of its proper divisors (153640396600).

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

105106100600 is a wasteful number, since it uses less digits than its factorization.

105106100600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30913592 (or 30913583 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 105106100600 in words is "one hundred five billion, one hundred six million, one hundred thousand, six hundred".