105575400 has 480 divisors, whose sum is σ = 450120000. Its totient is φ = 22861440.

The previous prime is 105575387. The next prime is 105575413. The reversal of 105575400 is 4575501.

It is an interprime number because it is at equal distance from previous prime (105575387) and next prime (105575413).

It is a super-2 number, since 2×105575400² = 22292330170320000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5556591 + ... + 5556609.

It is an arithmetic number, because the mean of its divisors is an integer number (937750).

Almost surely, 2^105575400 is an apocalyptic number.

105575400 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 105575400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225060000).

105575400 is an abundant number, since it is smaller than the sum of its proper divisors (344544600).

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

105575400 is a wasteful number, since it uses less digits than its factorization.

105575400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 105575400 is about 10274.9890510891. The cubic root of 105575400 is about 472.6295940822.

The spelling of 105575400 in words is "one hundred five million, five hundred seventy-five thousand, four hundred".