100506399482944 has 567 divisors, whose sum is σ = 257561661365487. Its totient is φ = 38781984503808.

The previous prime is 100506399482903. The next prime is 100506399482959. The reversal of 100506399482944 is 449284993605001.

The square root of 100506399482944 is 10025288.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2569249940544 + 97937149542400 = 1602888^2 + 9896320^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 343025254062 + ... + 343025254354.

Almost surely, 2^{100506399482944} is an apocalyptic number.

100506399482944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100506399482944 is the 10025288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100506399482944

100506399482944 is an abundant number, since it is smaller than the sum of its proper divisors (157055261882543).

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

100506399482944 is an frugal number, since it uses more digits than its factorization.

100506399482944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 64.

100506399482944 divided by its sum of digits (64) gives a square (1570412491921 = 1253161²).

The spelling of 100506399482944 in words is "one hundred trillion, five hundred six billion, three hundred ninety-nine million, four hundred eighty-two thousand, nine hundred forty-four".