100735479552 has 36 divisors (see below), whose sum is σ = 268103283560. Its totient is φ = 33578492928.

The previous prime is 100735479539. The next prime is 100735479577. The reversal of 100735479552 is 255974537001.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65582227 + ... + 65583762.

Almost surely, 2^100735479552 is an apocalyptic number.

100735479552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100735479552 is an abundant number, since it is smaller than the sum of its proper divisors (167367804008).

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

100735479552 is an equidigital number, since it uses as much as digits as its factorization.

100735479552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131166008 (or 131165994 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 48.

The spelling of 100735479552 in words is "one hundred billion, seven hundred thirty-five million, four hundred seventy-nine thousand, five hundred fifty-two".