100597478016 has 256 divisors, whose sum is σ = 328948531200. Its totient is φ = 26605117440.

The previous prime is 100597478011. The next prime is 100597478017. The reversal of 100597478016 is 610874795001.

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

It is not an unprimeable number, because it can be changed into a prime (100597478011) 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, 1890300 + ... + 1942788.

It is an arithmetic number, because the mean of its divisors is an integer number (1284955200).

Almost surely, 2^100597478016 is an apocalyptic number.

100597478016 is a gapful number since it is divisible by the number (16) 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 100597478016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164474265600).

100597478016 is an abundant number, since it is smaller than the sum of its proper divisors (228351053184).

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

100597478016 is a wasteful number, since it uses less digits than its factorization.

100597478016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52567 (or 52555 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 100597478016 in words is "one hundred billion, five hundred ninety-seven million, four hundred seventy-eight thousand, sixteen".