106595400 has 96 divisors (see below), whose sum is σ = 333907200. Its totient is φ = 28128000.

The previous prime is 106595399. The next prime is 106595413. The reversal of 106595400 is 4595601.

It is a super-2 number, since 2×106595400² = 22725158602320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59721 + ... + 61479.

It is an arithmetic number, because the mean of its divisors is an integer number (3478200).

Almost surely, 2^106595400 is an apocalyptic number.

106595400 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 106595400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166953600).

106595400 is an abundant number, since it is smaller than the sum of its proper divisors (227311800).

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

106595400 is a wasteful number, since it uses less digits than its factorization.

106595400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 106595400 is about 10324.5048307413. The cubic root of 106595400 is about 474.1467970969.

The spelling of 106595400 in words is "one hundred six million, five hundred ninety-five thousand, four hundred".