105520116400 has 30 divisors (see below), whose sum is σ = 253512080612. Its totient is φ = 42208046400.

The previous prime is 105520116389. The next prime is 105520116451. The reversal of 105520116400 is 4611025501.

It is a happy number.

It is a super-2 number, since 2×105520116400² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 131899746 + ... + 131900545.

Almost surely, 2^105520116400 is an apocalyptic number.

105520116400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105520116400 is an abundant number, since it is smaller than the sum of its proper divisors (147991964212).

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

105520116400 is a wasteful number, since it uses less digits than its factorization.

105520116400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263800309 (or 263800298 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The spelling of 105520116400 in words is "one hundred five billion, five hundred twenty million, one hundred sixteen thousand, four hundred".