106376976 has 100 divisors (see below), whose sum is σ = 312083200. Its totient is φ = 34976448.

The previous prime is 106376951. The next prime is 106376993. The reversal of 106376976 is 679673601.

106376976 is a `hidden beast` number, since 1 + 0 + 637 + 6 + 9 + 7 + 6 = 666.

It is a super-2 number, since 2×106376976² = 22632122045809152, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 101865 + ... + 102903.

It is an arithmetic number, because the mean of its divisors is an integer number (3120832).

Almost surely, 2^106376976 is an apocalyptic number.

106376976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106376976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156041600).

106376976 is an abundant number, since it is smaller than the sum of its proper divisors (205706224).

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

106376976 is a wasteful number, since it uses less digits than its factorization.

106376976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 106376976 is about 10313.9214656696. The cubic root of 106376976 is about 473.8227185131.

The spelling of 106376976 in words is "one hundred six million, three hundred seventy-six thousand, nine hundred seventy-six".