105235542400 has 96 divisors (see below), whose sum is σ = 260547219000. Its totient is φ = 41999892480.

The previous prime is 105235542389. The next prime is 105235542449. The reversal of 105235542400 is 4245532501.

It is a super-2 number, since 2×105235542400² (a number of 23 digits) contains 22 as substring.

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, 1400179 + ... + 1473421.

Almost surely, 2^105235542400 is an apocalyptic number.

105235542400 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 105235542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130273609500).

105235542400 is an abundant number, since it is smaller than the sum of its proper divisors (155311676600).

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

105235542400 is an equidigital number, since it uses as much as digits as its factorization.

105235542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73716 (or 73699 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The spelling of 105235542400 in words is "one hundred five billion, two hundred thirty-five million, five hundred forty-two thousand, four hundred".