100282416 has 40 divisors (see below), whose sum is σ = 278992560. Its totient is φ = 30855936.

The previous prime is 100282409. The next prime is 100282417. The reversal of 100282416 is 614282001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (100282417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79731 + ... + 80978.

It is an arithmetic number, because the mean of its divisors is an integer number (6974814).

Almost surely, 2^100282416 is an apocalyptic number.

100282416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100282416 is an abundant number, since it is smaller than the sum of its proper divisors (178710144).

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

100282416 is a wasteful number, since it uses less digits than its factorization.

100282416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160733 (or 160727 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 100282416 is about 10014.1108442038. The cubic root of 100282416 is about 464.5954256477.

The spelling of 100282416 in words is "one hundred million, two hundred eighty-two thousand, four hundred sixteen".