106902400 has 96 divisors (see below), whose sum is σ = 288184680. Its totient is φ = 38860800.

The previous prime is 106902391. The next prime is 106902421. The reversal of 106902400 is 4209601.

It is a super-2 number, since 2×106902400² = 22856246251520000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 33682 + ... + 36718.

Almost surely, 2^106902400 is an apocalyptic number.

106902400 is a gapful number since it is divisible by the number (10) 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 106902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144092340).

106902400 is an abundant number, since it is smaller than the sum of its proper divisors (181282280).

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

106902400 is a wasteful number, since it uses less digits than its factorization.

106902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 106902400 is about 10339.3616824251. The cubic root of 106902400 is about 474.6015495125.

The spelling of 106902400 in words is "one hundred six million, nine hundred two thousand, four hundred".