105009032400 has 120 divisors (see below), whose sum is σ = 338238080544. Its totient is φ = 27847641600.

The previous prime is 105009032399. The next prime is 105009032411. The reversal of 105009032400 is 4230900501.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×105009032400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 24534 + ... + 458933.

Almost surely, 2^105009032400 is an apocalyptic number.

105009032400 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 105009032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169119040272).

105009032400 is an abundant number, since it is smaller than the sum of its proper divisors (233229048144).

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

105009032400 is a wasteful number, since it uses less digits than its factorization.

105009032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483669 (or 483658 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 105009032400 its reverse (4230900501), we get a palindrome (109239932901).

The spelling of 105009032400 in words is "one hundred five billion, nine million, thirty-two thousand, four hundred".