100957914 has 40 divisors (see below), whose sum is σ = 227463060. Its totient is φ = 33467904.

The previous prime is 100957907. The next prime is 100957933. The reversal of 100957914 is 419759001.

It can be written as a sum of positive squares in 2 ways, for example, as 95355225 + 5602689 = 9765^2 + 2367^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29652 + ... + 32880.

Almost surely, 2^100957914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100957914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113731530).

100957914 is an abundant number, since it is smaller than the sum of its proper divisors (126505146).

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

100957914 is a wasteful number, since it uses less digits than its factorization.

100957914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 100957914 is about 10047.7815461922. The cubic root of 100957914 is about 465.6362570075.

The spelling of 100957914 in words is "one hundred million, nine hundred fifty-seven thousand, nine hundred fourteen".