100153712 has 40 divisors (see below), whose sum is σ = 206236800. Its totient is φ = 46982592.

The previous prime is 100153687. The next prime is 100153723. The reversal of 100153712 is 217351001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30989 + ... + 34067.

It is an arithmetic number, because the mean of its divisors is an integer number (5155920).

Almost surely, 2^100153712 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 100153712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103118400).

100153712 is an abundant number, since it is smaller than the sum of its proper divisors (106083088).

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

100153712 is a wasteful number, since it uses less digits than its factorization.

100153712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3213 (or 3207 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 100153712 is about 10007.6826488453. The cubic root of 100153712 is about 464.3965842455.

The spelling of 100153712 in words is "one hundred million, one hundred fifty-three thousand, seven hundred twelve".