100295416 has 48 divisors (see below), whose sum is σ = 210288960. Its totient is φ = 44778240.

The previous prime is 100295413. The next prime is 100295417. The reversal of 100295416 is 614592001.

It is a super-2 number, since 2×100295416² = 20118340941226112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100295413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40716 + ... + 43108.

It is an arithmetic number, because the mean of its divisors is an integer number (4381020).

Almost surely, 2^100295416 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 100295416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105144480).

100295416 is an abundant number, since it is smaller than the sum of its proper divisors (109993544).

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

100295416 is a wasteful number, since it uses less digits than its factorization.

100295416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 100295416 is about 10014.7599072569. The cubic root of 100295416 is about 464.6155005516.

The spelling of 100295416 in words is "one hundred million, two hundred ninety-five thousand, four hundred sixteen".