100311089679360 has 3520 divisors, whose sum is σ = 452793077637120. Its totient is φ = 20707918479360.

The previous prime is 100311089679341. The next prime is 100311089679389. The reversal of 100311089679360 is 63976980113001.

It is a happy number.

100311089679360 is a `hidden beast` number, since 10 + 0 + 3 + 110 + 8 + 96 + 79 + 360 = 666.

It is a super-2 number, since 2×100311089679360² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 100311089679297 and 100311089679306.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 264673059651 + ... + 264673060029.

It is an arithmetic number, because the mean of its divisors is an integer number (128634397056).

Almost surely, 2^{100311089679360} is an apocalyptic number.

100311089679360 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 100311089679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226396538818560).

100311089679360 is an abundant number, since it is smaller than the sum of its proper divisors (352481987957760).

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

100311089679360 is a wasteful number, since it uses less digits than its factorization.

100311089679360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 100311089679360 in words is "one hundred trillion, three hundred eleven billion, eighty-nine million, six hundred seventy-nine thousand, three hundred sixty".