106505664586496 has 72 divisors (see below), whose sum is σ = 248892048664224. Its totient is φ = 44531985162240.

The previous prime is 106505664586493. The next prime is 106505664586511. The reversal of 106505664586496 is 694685466505601.

It is a super-2 number, since 2×106505664586496² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106505664586493) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 724730975 + ... + 724877918.

Almost surely, 2^{106505664586496} is an apocalyptic number.

106505664586496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106505664586496 is an abundant number, since it is smaller than the sum of its proper divisors (142386384077728).

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

106505664586496 is an equidigital number, since it uses as much as digits as its factorization.

106505664586496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449608957 (or 1449608943 counting only the distinct ones).

The product of its (nonzero) digits is 1119744000, while the sum is 71.

The spelling of 106505664586496 in words is "one hundred six trillion, five hundred five billion, six hundred sixty-four million, five hundred eighty-six thousand, four hundred ninety-six".