100364451840 has 336 divisors, whose sum is σ = 357354530400. Its totient is φ = 26726105088.

The previous prime is 100364451827. The next prime is 100364451877. The reversal of 100364451840 is 48154463001.

100364451840 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 644 + 5 + 1 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100364451795 and 100364451804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141557406 + ... + 141558114.

It is an arithmetic number, because the mean of its divisors is an integer number (1063555150).

Almost surely, 2^100364451840 is an apocalyptic number.

100364451840 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 100364451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178677265200).

100364451840 is an abundant number, since it is smaller than the sum of its proper divisors (256990078560).

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

100364451840 is an frugal number, since it uses more digits than its factorization.

100364451840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 100364451840 in words is "one hundred billion, three hundred sixty-four million, four hundred fifty-one thousand, eight hundred forty".