106416804 has 48 divisors (see below), whose sum is σ = 283143168. Its totient is φ = 30816768.

The previous prime is 106416803. The next prime is 106416811. The reversal of 106416804 is 408614601.

It is a super-2 number, since 2×106416804² = 22649072347148832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106416803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17412 + ... + 22715.

It is an arithmetic number, because the mean of its divisors is an integer number (5898816).

Almost surely, 2^106416804 is an apocalyptic number.

It is an amenable number.

106416804 is an abundant number, since it is smaller than the sum of its proper divisors (176726364).

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

106416804 is a wasteful number, since it uses less digits than its factorization.

106416804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40164 (or 40162 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 106416804 is about 10315.8520733869. The cubic root of 106416804 is about 473.8818448931.

The spelling of 106416804 in words is "one hundred six million, four hundred sixteen thousand, eight hundred four".