100927480135680 has 2160 divisors, whose sum is σ = 419166782828640. Its totient is φ = 23151488532480.

The previous prime is 100927480135667. The next prime is 100927480135709. The reversal of 100927480135680 is 86531084729001.

100927480135680 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 2 + 74 + 8 + 0 + 1 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 122040483427 + ... + 122040484253.

It is an arithmetic number, because the mean of its divisors is an integer number (194058695754).

It is a 2-persistent number, because it is pandigital, and so is 2⋅100927480135680 = 201854960271360, but 3⋅100927480135680 = 302782440407040 is not.

Almost surely, 2^{100927480135680} is an apocalyptic number.

100927480135680 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 100927480135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209583391414320).

100927480135680 is an abundant number, since it is smaller than the sum of its proper divisors (318239302692960).

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

100927480135680 is an frugal number, since it uses more digits than its factorization.

100927480135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 100927480135680 in words is "one hundred trillion, nine hundred twenty-seven billion, four hundred eighty million, one hundred thirty-five thousand, six hundred eighty".