106715772 has 24 divisors (see below), whose sum is σ = 276670800. Its totient is φ = 35571888.

The previous prime is 106715767. The next prime is 106715789. The reversal of 106715772 is 277517601.

106715772 is a `hidden beast` number, since 10 + 6 + 71 + 577 + 2 = 666.

It is a super-3 number, since 3×106715772³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 493947 + ... + 494162.

It is an arithmetic number, because the mean of its divisors is an integer number (11527950).

Almost surely, 2^106715772 is an apocalyptic number.

106715772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106715772 is an abundant number, since it is smaller than the sum of its proper divisors (169955028).

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

106715772 is a wasteful number, since it uses less digits than its factorization.

106715772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988122 (or 988114 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The square root of 106715772 is about 10330.3326180719. The cubic root of 106715772 is about 474.3252054468.

The spelling of 106715772 in words is "one hundred six million, seven hundred fifteen thousand, seven hundred seventy-two".