103050792 has 120 divisors (see below), whose sum is σ = 312880590. Its totient is φ = 31674240.

The previous prime is 103050791. The next prime is 103050793. The reversal of 103050792 is 297050301.

It is an interprime number because it is at equal distance from previous prime (103050791) and next prime (103050793).

It can be written as a sum of positive squares in 3 ways, for example, as 57972996 + 45077796 = 7614^2 + 6714^2 .

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

It is not an unprimeable number, because it can be changed into a prime (103050791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 109042 + ... + 109982.

Almost surely, 2^103050792 is an apocalyptic number.

103050792 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 103050792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156440295).

103050792 is an abundant number, since it is smaller than the sum of its proper divisors (209829798).

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

103050792 is a wasteful number, since it uses less digits than its factorization.

103050792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 103050792 is about 10151.3935989104. The cubic root of 103050792 is about 468.8318538657.

The spelling of 103050792 in words is "one hundred three million, fifty thousand, seven hundred ninety-two".