100708992 has 48 divisors (see below), whose sum is σ = 289803930. Its totient is φ = 33569280.

The previous prime is 100708991. The next prime is 100708999. The reversal of 100708992 is 299807001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 75064896 + 25644096 = 8664^2 + 5064^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (100708991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42559 + ... + 44862.

Almost surely, 2^100708992 is an apocalyptic number.

100708992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100708992 is an abundant number, since it is smaller than the sum of its proper divisors (189094938).

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

100708992 is an equidigital number, since it uses as much as digits as its factorization.

100708992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87441 (or 87426 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 100708992 is about 10035.3869880538. The cubic root of 100708992 is about 465.2532508791.

The spelling of 100708992 in words is "one hundred million, seven hundred eight thousand, nine hundred ninety-two".