100364734955520 has 2112 divisors, whose sum is σ = 437938383407616. Its totient is φ = 21525839216640.

The previous prime is 100364734955497. The next prime is 100364734955567. The reversal of 100364734955520 is 25559437463001.

100364734955520 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 6 + 4 + 73 + 49 + 5 + 5 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 303216721755 + ... + 303216722085.

Almost surely, 2^{100364734955520} is an apocalyptic number.

100364734955520 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 100364734955520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218969191703808).

100364734955520 is an abundant number, since it is smaller than the sum of its proper divisors (337573648452096).

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

100364734955520 is an frugal number, since it uses more digits than its factorization.

100364734955520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 100364734955520 in words is "one hundred trillion, three hundred sixty-four billion, seven hundred thirty-four million, nine hundred fifty-five thousand, five hundred twenty".