102790944 has 72 divisors (see below), whose sum is σ = 303161040. Its totient is φ = 34261056.

The previous prime is 102790907. The next prime is 102790949. The reversal of 102790944 is 449097201.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×102790944² = 21131956336822272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 102790899 and 102790908.

It is not an unprimeable number, because it can be changed into a prime (102790949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1167 + ... + 14385.

It is an arithmetic number, because the mean of its divisors is an integer number (4210570).

Almost surely, 2^102790944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102790944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151580520).

102790944 is an abundant number, since it is smaller than the sum of its proper divisors (200370096).

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

102790944 is an equidigital number, since it uses as much as digits as its factorization.

102790944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13244 (or 13224 counting only the distinct ones).

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

The square root of 102790944 is about 10138.5868837822. The cubic root of 102790944 is about 468.4374607807.

The spelling of 102790944 in words is "one hundred two million, seven hundred ninety thousand, nine hundred forty-four".