106382992 has 40 divisors (see below), whose sum is σ = 214754112. Its totient is φ = 51004800.

The previous prime is 106382971. The next prime is 106382993. The reversal of 106382992 is 299283601.

It is a happy number.

It is a super-2 number, since 2×106382992² = 22634681973744128, which contains 22 as substring.

It is a pancake number, because a pancake can be divided into 106382992 parts by 14586 straight cuts.

It is not an unprimeable number, because it can be changed into a prime (106382993) 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, 40767 + ... + 43297.

Almost surely, 2^106382992 is an apocalyptic number.

It is an amenable number.

106382992 is an abundant number, since it is smaller than the sum of its proper divisors (108371120).

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

106382992 is a wasteful number, since it uses less digits than its factorization.

106382992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2647 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 106382992 is about 10314.2131061948. The cubic root of 106382992 is about 473.8316504701.

The spelling of 106382992 in words is "one hundred six million, three hundred eighty-two thousand, nine hundred ninety-two".