100262016 has 128 divisors (see below), whose sum is σ = 301022400. Its totient is φ = 32845824.

The previous prime is 100262009. The next prime is 100262021. The reversal of 100262016 is 610262001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 100262016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231336 + ... + 231768.

Almost surely, 2^100262016 is an apocalyptic number.

100262016 is a gapful number since it is divisible by the number (16) 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 100262016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150511200).

100262016 is an abundant number, since it is smaller than the sum of its proper divisors (200760384).

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

100262016 is an equidigital number, since it uses as much as digits as its factorization.

100262016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100262016 is about 10013.0922296761. The cubic root of 100262016 is about 464.5639199933.

The spelling of 100262016 in words is "one hundred million, two hundred sixty-two thousand, sixteen".