107054248432800 has 144 divisors (see below), whose sum is σ = 348634356723072. Its totient is φ = 28533644697600.

The previous prime is 107054248432759. The next prime is 107054248432867. The reversal of 107054248432800 is 8234842450701.

It is a super-2 number, since 2×107054248432800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 107054248432800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6216696 + ... + 15898295.

It is an arithmetic number, because the mean of its divisors is an integer number (2421071921688).

Almost surely, 2^{107054248432800} is an apocalyptic number.

107054248432800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107054248432800 is an abundant number, since it is smaller than the sum of its proper divisors (241580108290272).

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

107054248432800 is a wasteful number, since it uses less digits than its factorization.

107054248432800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22117031 (or 22117018 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 107054248432800 in words is "one hundred seven trillion, fifty-four billion, two hundred forty-eight million, four hundred thirty-two thousand, eight hundred".