103921920 has 288 divisors, whose sum is σ = 384599040. Its totient is φ = 26542080.

The previous prime is 103921913. The next prime is 103921933. The reversal of 103921920 is 29129301.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1071312 + ... + 1071408.

Almost surely, 2^103921920 is an apocalyptic number.

103921920 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 103921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192299520).

103921920 is an abundant number, since it is smaller than the sum of its proper divisors (280677120).

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

103921920 is an equidigital number, since it uses as much as digits as its factorization.

103921920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 103921920 is about 10194.2101214366. The cubic root of 103921920 is about 470.1492207642.

The spelling of 103921920 in words is "one hundred three million, nine hundred twenty-one thousand, nine hundred twenty".