100712538 has 64 divisors (see below), whose sum is σ = 235699200. Its totient is φ = 31814640.

The previous prime is 100712537. The next prime is 100712567. The reversal of 100712538 is 835217001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100712533) 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, 162393 + ... + 163011.

It is an arithmetic number, because the mean of its divisors is an integer number (3682800).

Almost surely, 2^100712538 is an apocalyptic number.

100712538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100712538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117849600).

100712538 is an abundant number, since it is smaller than the sum of its proper divisors (134986662).

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

100712538 is a wasteful number, since it uses less digits than its factorization.

100712538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 100712538 is about 10035.5636612997. The cubic root of 100712538 is about 465.2587113934.

Adding to 100712538 its reverse (835217001), we get a palindrome (935929539).

The spelling of 100712538 in words is "one hundred million, seven hundred twelve thousand, five hundred thirty-eight".