100312992 has 180 divisors, whose sum is σ = 320852070. Its totient is φ = 30730752.

The previous prime is 100312963. The next prime is 100313021. The reversal of 100312992 is 299213001.

It is an interprime number because it is at equal distance from previous prime (100312963) and next prime (100313021).

It can be written as a sum of positive squares in 3 ways, for example, as 75272976 + 25040016 = 8676^2 + 5004^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 437934 + ... + 438162.

Almost surely, 2^100312992 is an apocalyptic number.

100312992 is a gapful number since it is divisible by the number (12) 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 100312992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160426035).

100312992 is an abundant number, since it is smaller than the sum of its proper divisors (220539078).

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

100312992 is a wasteful number, since it uses less digits than its factorization.

100312992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 100312992 is about 10015.6373736273. The cubic root of 100312992 is about 464.6426390636.

Adding to 100312992 its reverse (299213001), we get a palindrome (399525993).

The spelling of 100312992 in words is "one hundred million, three hundred twelve thousand, nine hundred ninety-two".