106580268400 has 60 divisors (see below), whose sum is σ = 257592544272. Its totient is φ = 42376798720.

The previous prime is 106580268391. The next prime is 106580268439. The reversal of 106580268400 is 4862085601.

It is a super-2 number, since 2×106580268400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 730957 + ... + 864556.

Almost surely, 2^106580268400 is an apocalyptic number.

106580268400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106580268400 is an abundant number, since it is smaller than the sum of its proper divisors (151012275872).

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

106580268400 is a wasteful number, since it uses less digits than its factorization.

106580268400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595698 (or 1595687 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 106580268400 in words is "one hundred six billion, five hundred eighty million, two hundred sixty-eight thousand, four hundred".