100472770013320 has 128 divisors (see below), whose sum is σ = 241514232098400. Its totient is φ = 37484969066496.

The previous prime is 100472770013279. The next prime is 100472770013327. The reversal of 100472770013320 is 23310077274001.

It can be written as a sum of positive squares in 16 ways, for example, as 723932108964 + 99748837904356 = 850842^2 + 9987434^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100472770013320.

It is not an unprimeable number, because it can be changed into a prime (100472770013327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561534112 + ... + 561713008.

Almost surely, 2^{100472770013320} is an apocalyptic number.

100472770013320 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 100472770013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120757116049200).

100472770013320 is an abundant number, since it is smaller than the sum of its proper divisors (141041462085080).

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

100472770013320 is a wasteful number, since it uses less digits than its factorization.

100472770013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186347 (or 186343 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 37.

The spelling of 100472770013320 in words is "one hundred trillion, four hundred seventy-two billion, seven hundred seventy million, thirteen thousand, three hundred twenty".