105688400 has 30 divisors (see below), whose sum is σ = 253917342. Its totient is φ = 42275200.

The previous prime is 105688379. The next prime is 105688409. The reversal of 105688400 is 4886501.

It can be written as a sum of positive squares in 3 ways, for example, as 37063744 + 68624656 = 6088^2 + 8284^2 .

It is a super-2 number, since 2×105688400² = 22340075789120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105688409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 131711 + ... + 132510.

Almost surely, 2^105688400 is an apocalyptic number.

105688400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105688400 is an abundant number, since it is smaller than the sum of its proper divisors (148228942).

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

105688400 is a wasteful number, since it uses less digits than its factorization.

105688400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264239 (or 264228 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 105688400 is about 10280.4863698173. The cubic root of 105688400 is about 472.7981563960.

The spelling of 105688400 in words is "one hundred five million, six hundred eighty-eight thousand, four hundred".