100180377640 has 128 divisors (see below), whose sum is σ = 259241472000. Its totient is φ = 34130251008.

The previous prime is 100180377631. The next prime is 100180377643. The reversal of 100180377640 is 46773081001.

It is a super-2 number, since 2×100180377640² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100180377640.

It is not an unprimeable number, because it can be changed into a prime (100180377643) 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, 37674631 + ... + 37677289.

It is an arithmetic number, because the mean of its divisors is an integer number (2025324000).

Almost surely, 2^100180377640 is an apocalyptic number.

100180377640 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 100180377640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129620736000).

100180377640 is an abundant number, since it is smaller than the sum of its proper divisors (159061094360).

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

100180377640 is a wasteful number, since it uses less digits than its factorization.

100180377640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3479 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The spelling of 100180377640 in words is "one hundred billion, one hundred eighty million, three hundred seventy-seven thousand, six hundred forty".