100937258016 has 192 divisors, whose sum is σ = 329741798400. Its totient is φ = 26379150336.

The previous prime is 100937258003. The next prime is 100937258017. The reversal of 100937258016 is 610852739001.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (100937258017) 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, 233971 + ... + 506573.

It is an arithmetic number, because the mean of its divisors is an integer number (1717405200).

Almost surely, 2^100937258016 is an apocalyptic number.

100937258016 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 100937258016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164870899200).

100937258016 is an abundant number, since it is smaller than the sum of its proper divisors (228804540384).

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

100937258016 is a wasteful number, since it uses less digits than its factorization.

100937258016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272671 (or 272663 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 100937258016 in words is "one hundred billion, nine hundred thirty-seven million, two hundred fifty-eight thousand, sixteen".