100747109520 has 120 divisors (see below), whose sum is σ = 358244912376. Its totient is φ = 25285545984.

The previous prime is 100747109513. The next prime is 100747109521. The reversal of 100747109520 is 25901747001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 39929630976 + 60817478544 = 199824^2 + 246612^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (100747109521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4103247 + ... + 4127726.

Almost surely, 2^100747109520 is an apocalyptic number.

100747109520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100747109520 is an abundant number, since it is smaller than the sum of its proper divisors (257497802856).

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

100747109520 is a wasteful number, since it uses less digits than its factorization.

100747109520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8231009 (or 8231000 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 100747109520 in words is "one hundred billion, seven hundred forty-seven million, one hundred nine thousand, five hundred twenty".