106556166616600 has 48 divisors (see below), whose sum is σ = 248396763252600. Its totient is φ = 42510006282240.

The previous prime is 106556166616511. The next prime is 106556166616667. The reversal of 106556166616600 is 6616661655601.

It is a super-2 number, since 2×106556166616600² (a number of 29 digits) contains 22 as substring.

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, 702801289 + ... + 702952888.

Almost surely, 2^{106556166616600} is an apocalyptic number.

106556166616600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106556166616600 is an abundant number, since it is smaller than the sum of its proper divisors (141840596636000).

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

106556166616600 is a wasteful number, since it uses less digits than its factorization.

106556166616600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405754572 (or 1405754563 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 55.

The spelling of 106556166616600 in words is "one hundred six trillion, five hundred fifty-six billion, one hundred sixty-six million, six hundred sixteen thousand, six hundred".