100720512 has 192 divisors, whose sum is σ = 317444400. Its totient is φ = 30523392.

The previous prime is 100720481. The next prime is 100720513. The reversal of 100720512 is 215027001.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100720513) 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, 724539 + ... + 724677.

Almost surely, 2^100720512 is an apocalyptic number.

100720512 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 100720512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158722200).

100720512 is an abundant number, since it is smaller than the sum of its proper divisors (216723888).

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

100720512 is a wasteful number, since it uses less digits than its factorization.

100720512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 100720512 is about 10035.9609405378. The cubic root of 100720512 is about 465.2709901528.

Adding to 100720512 its reverse (215027001), we get a palindrome (315747513).

It can be divided in two parts, 10072051 and 2, that multiplied together give a palindrome (20144102).

The spelling of 100720512 in words is "one hundred million, seven hundred twenty thousand, five hundred twelve".