100955490435072 has 2880 divisors, whose sum is σ = 392977514496000. Its totient is φ = 25563845099520.

The previous prime is 100955490435017. The next prime is 100955490435083. The reversal of 100955490435072 is 270534094559001.

100955490435072 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 5 + 5 + 4 + 90 + 43 + 507 + 2 = 666.

It is a super-3 number, since 3×100955490435072³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 794925121473 + ... + 794925121599.

Almost surely, 2^{100955490435072} is an apocalyptic number.

100955490435072 is a gapful number since it is divisible by the number (12) 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 100955490435072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196488757248000).

100955490435072 is an abundant number, since it is smaller than the sum of its proper divisors (292022024060928).

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

100955490435072 is an equidigital number, since it uses as much as digits as its factorization.

100955490435072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 100955490435072 in words is "one hundred trillion, nine hundred fifty-five billion, four hundred ninety million, four hundred thirty-five thousand, seventy-two".