106666560203400 has 144 divisors (see below), whose sum is σ = 358227533242800. Its totient is φ = 28443965946240.

The previous prime is 106666560203387. The next prime is 106666560203447. The reversal of 106666560203400 is 4302065666601.

It is a super-2 number, since 2×106666560203400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 122229811 + ... + 123099389.

It is an arithmetic number, because the mean of its divisors is an integer number (2487691203075).

Almost surely, 2^{106666560203400} is an apocalyptic number.

106666560203400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106666560203400 is an abundant number, since it is smaller than the sum of its proper divisors (251560973039400).

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

106666560203400 is a wasteful number, since it uses less digits than its factorization.

106666560203400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937748 (or 937736 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 106666560203400 in words is "one hundred six trillion, six hundred sixty-six billion, five hundred sixty million, two hundred three thousand, four hundred".