103408992 has 72 divisors (see below), whose sum is σ = 296071776. Its totient is φ = 34235136.

The previous prime is 103408979. The next prime is 103408999. The reversal of 103408992 is 299804301.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103408999) 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, 44073 + ... + 46359.

It is an arithmetic number, because the mean of its divisors is an integer number (4112108).

Almost surely, 2^103408992 is an apocalyptic number.

103408992 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 103408992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148035888).

103408992 is an abundant number, since it is smaller than the sum of its proper divisors (192662784).

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

103408992 is a wasteful number, since it uses less digits than its factorization.

103408992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 103408992 is about 10169.0211918355. The cubic root of 103408992 is about 469.3744386203.

The spelling of 103408992 in words is "one hundred three million, four hundred eight thousand, nine hundred ninety-two".