100924416 has 132 divisors (see below), whose sum is σ = 298894752. Its totient is φ = 32784384.

The previous prime is 100924387. The next prime is 100924429. The reversal of 100924416 is 614429001.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 100924416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 433036 + ... + 433268.

Almost surely, 2^100924416 is an apocalyptic number.

100924416 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 100924416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149447376).

100924416 is an abundant number, since it is smaller than the sum of its proper divisors (197970336).

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

100924416 is a wasteful number, since it uses less digits than its factorization.

100924416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 100924416 is about 10046.1144727701. The cubic root of 100924416 is about 465.5847516882.

It can be divided in two parts, 1009 and 24416, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 100924416 in words is "one hundred million, nine hundred twenty-four thousand, four hundred sixteen".