100382976 has 180 divisors, whose sum is σ = 308660352. Its totient is φ = 32431104.

The previous prime is 100382969. The next prime is 100382983. The reversal of 100382976 is 679283001.

It is an interprime number because it is at equal distance from previous prime (100382969) and next prime (100382983).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 100382976.

It is a congruent number.

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, 974541 + ... + 974643.

Almost surely, 2^100382976 is an apocalyptic number.

100382976 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 100382976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154330176).

100382976 is an abundant number, since it is smaller than the sum of its proper divisors (208277376).

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

100382976 is an equidigital number, since it uses as much as digits as its factorization.

100382976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 100382976 is about 10019.1305011962. The cubic root of 100382976 is about 464.7506675809.

The spelling of 100382976 in words is "one hundred million, three hundred eighty-two thousand, nine hundred seventy-six".