106177872 has 20 divisors (see below), whose sum is σ = 274292960. Its totient is φ = 35392608.

The previous prime is 106177861. The next prime is 106177889. The reversal of 106177872 is 278771601.

It is a super-2 number, since 2×106177872² = 22547481004896768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106177872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1105972 + ... + 1106067.

It is an arithmetic number, because the mean of its divisors is an integer number (13714648).

Almost surely, 2^106177872 is an apocalyptic number.

106177872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106177872 is an abundant number, since it is smaller than the sum of its proper divisors (168115088).

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

106177872 is a wasteful number, since it uses less digits than its factorization.

106177872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212050 (or 2212044 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 39.

The square root of 106177872 is about 10304.2647481516. The cubic root of 106177872 is about 473.5269185459.

The spelling of 106177872 in words is "one hundred six million, one hundred seventy-seven thousand, eight hundred seventy-two".