103057920 has 400 divisors, whose sum is σ = 427794048. Its totient is φ = 23224320.

The previous prime is 103057883. The next prime is 103057937. The reversal of 103057920 is 29750301.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1451485 + ... + 1451555.

Almost surely, 2^103057920 is an apocalyptic number.

103057920 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 103057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213897024).

103057920 is an abundant number, since it is smaller than the sum of its proper divisors (324736128).

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

103057920 is an frugal number, since it uses more digits than its factorization.

103057920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 88 counting only the distinct ones).

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

The square root of 103057920 is about 10151.7446776404. The cubic root of 103057920 is about 468.8426632810.

It can be divided in two parts, 10305 and 7920, that added together give a square (18225 = 135²).

The spelling of 103057920 in words is "one hundred three million, fifty-seven thousand, nine hundred twenty".