103492880 has 80 divisors (see below), whose sum is σ = 257126400. Its totient is φ = 38653440.

The previous prime is 103492877. The next prime is 103492901. The reversal of 103492880 is 88294301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 103492880.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 71201 + ... + 72639.

It is an arithmetic number, because the mean of its divisors is an integer number (3214080).

Almost surely, 2^103492880 is an apocalyptic number.

103492880 is a gapful number since it is divisible by the number (10) 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 103492880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128563200).

103492880 is an abundant number, since it is smaller than the sum of its proper divisors (153633520).

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

103492880 is a wasteful number, since it uses less digits than its factorization.

103492880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 103492880 is about 10173.1450397603. The cubic root of 103492880 is about 469.5013271356.

The spelling of 103492880 in words is "one hundred three million, four hundred ninety-two thousand, eight hundred eighty".