100713180672 has 240 divisors, whose sum is σ = 321491089920. Its totient is φ = 30150475776.

The previous prime is 100713180637. The next prime is 100713180677. The reversal of 100713180672 is 276081317001.

It is a super-2 number, since 2×100713180672² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100713180677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2193729 + ... + 2239167.

It is an arithmetic number, because the mean of its divisors is an integer number (1339546208).

Almost surely, 2^100713180672 is an apocalyptic number.

100713180672 is a gapful number since it is divisible by the number (12) 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 100713180672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160745544960).

100713180672 is an abundant number, since it is smaller than the sum of its proper divisors (220777909248).

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

100713180672 is a wasteful number, since it uses less digits than its factorization.

100713180672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45513 (or 45494 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

Adding to 100713180672 its reverse (276081317001), we get a palindrome (376794497673).

The spelling of 100713180672 in words is "one hundred billion, seven hundred thirteen million, one hundred eighty thousand, six hundred seventy-two".