100395712 has 42 divisors (see below), whose sum is σ = 204928724. Its totient is φ = 48773760.

The previous prime is 100395703. The next prime is 100395749. The reversal of 100395712 is 217593001.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 525537 + ... + 525727.

Almost surely, 2^100395712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100395712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102464362).

100395712 is an abundant number, since it is smaller than the sum of its proper divisors (104533012).

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

100395712 is an frugal number, since it uses more digits than its factorization.

100395712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 100395712 is about 10019.7660651335. The cubic root of 100395712 is about 464.7703216910.

It can be divided in two parts, 10039 and 5712, that added together give a palindrome (15751).

The spelling of 100395712 in words is "one hundred million, three hundred ninety-five thousand, seven hundred twelve".