106684704 has 72 divisors (see below), whose sum is σ = 346731840. Its totient is φ = 30480768.

The previous prime is 106684687. The next prime is 106684709. The reversal of 106684704 is 407486601.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106684704² = 22763252135135232, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106684709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24444 + ... + 28475.

It is an arithmetic number, because the mean of its divisors is an integer number (4815720).

Almost surely, 2^106684704 is an apocalyptic number.

106684704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106684704 is an abundant number, since it is smaller than the sum of its proper divisors (240047136).

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

106684704 is a wasteful number, since it uses less digits than its factorization.

106684704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52942 (or 52931 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 106684704 is about 10328.8287816189. The cubic root of 106684704 is about 474.2791711213.

The spelling of 106684704 in words is "one hundred six million, six hundred eighty-four thousand, seven hundred four".