105101454400 has 42 divisors (see below), whose sum is σ = 258615270170. Its totient is φ = 42040581120.

The previous prime is 105101454391. The next prime is 105101454427. The reversal of 105101454400 is 4454101501.

It can be written as a sum of positive squares in 3 ways, for example, as 1407150144 + 103694304256 = 37512^2 + 322016^2 .

It is a super-2 number, since 2×105101454400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32842605 + ... + 32845804.

Almost surely, 2^105101454400 is an apocalyptic number.

105101454400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105101454400 is an abundant number, since it is smaller than the sum of its proper divisors (153513815770).

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

105101454400 is an equidigital number, since it uses as much as digits as its factorization.

105101454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65688431 (or 65688416 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 105101454400 its reverse (4454101501), we get a palindrome (109555555901).

The spelling of 105101454400 in words is "one hundred five billion, one hundred one million, four hundred fifty-four thousand, four hundred".