105109400 has 48 divisors (see below), whose sum is σ = 266601240. Its totient is φ = 38220800.

The previous prime is 105109373. The next prime is 105109429. The reversal of 105109400 is 4901501.

It is a super-2 number, since 2×105109400² = 22095971936720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21689 + ... + 26088.

Almost surely, 2^105109400 is an apocalyptic number.

105109400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105109400 is an abundant number, since it is smaller than the sum of its proper divisors (161491840).

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

105109400 is a wasteful number, since it uses less digits than its factorization.

105109400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47804 (or 47795 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 105109400 is about 10252.2875496155. The cubic root of 105109400 is about 471.9331874213.

The spelling of 105109400 in words is "one hundred five million, one hundred nine thousand, four hundred".