105599400 has 96 divisors (see below), whose sum is σ = 335052960. Its totient is φ = 27498240.

The previous prime is 105599399. The next prime is 105599401. The reversal of 105599400 is 4995501.

It is an interprime number because it is at equal distance from previous prime (105599399) and next prime (105599401).

It is a super-2 number, since 2×105599400² = 22302466560720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105599401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23754 + ... + 27846.

It is an arithmetic number, because the mean of its divisors is an integer number (3490135).

Almost surely, 2^105599400 is an apocalyptic number.

105599400 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 105599400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167526480).

105599400 is an abundant number, since it is smaller than the sum of its proper divisors (229453560).

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

105599400 is a wasteful number, since it uses less digits than its factorization.

105599400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4155 (or 4146 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 105599400 is about 10276.1568691802. The cubic root of 105599400 is about 472.6654049840.

The spelling of 105599400 in words is "one hundred five million, five hundred ninety-nine thousand, four hundred".