106377166272 has 84 divisors (see below), whose sum is σ = 304772247960. Its totient is φ = 32731425792.

The previous prime is 106377166253. The next prime is 106377166279. The reversal of 106377166272 is 272661773601.

It is a super-2 number, since 2×106377166272² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106377166279) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1606747 + ... + 1671642.

Almost surely, 2^106377166272 is an apocalyptic number.

106377166272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106377166272 is an abundant number, since it is smaller than the sum of its proper divisors (198395081688).

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

106377166272 is a wasteful number, since it uses less digits than its factorization.

106377166272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278430 (or 3278407 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 48.

The spelling of 106377166272 in words is "one hundred six billion, three hundred seventy-seven million, one hundred sixty-six thousand, two hundred seventy-two".