100947833280 has 896 divisors, whose sum is σ = 440316518400. Its totient is φ = 21244280832.

The previous prime is 100947833183. The next prime is 100947833309. The reversal of 100947833280 is 82338749001.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 48322476 + ... + 48324564.

Almost surely, 2^100947833280 is an apocalyptic number.

100947833280 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 100947833280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220158259200).

100947833280 is an abundant number, since it is smaller than the sum of its proper divisors (339368685120).

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

100947833280 is a wasteful number, since it uses less digits than its factorization.

100947833280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 100947833280 in words is "one hundred billion, nine hundred forty-seven million, eight hundred thirty-three thousand, two hundred eighty".