106976928 has 48 divisors (see below), whose sum is σ = 282108960. Its totient is φ = 35494656.

The previous prime is 106976927. The next prime is 106976951. The reversal of 106976928 is 829679601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106976928² = 22888126248634368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106976923) 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, 19338 + ... + 24246.

It is an arithmetic number, because the mean of its divisors is an integer number (5877270).

Almost surely, 2^106976928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106976928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141054480).

106976928 is an abundant number, since it is smaller than the sum of its proper divisors (175132032).

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

106976928 is a wasteful number, since it uses less digits than its factorization.

106976928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5149 (or 5141 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 106976928 is about 10342.9651454503. The cubic root of 106976928 is about 474.7118148502.

The spelling of 106976928 in words is "one hundred six million, nine hundred seventy-six thousand, nine hundred twenty-eight".