103051872 has 192 divisors, whose sum is σ = 374976000. Its totient is φ = 26749440.

The previous prime is 103051849. The next prime is 103051873. The reversal of 103051872 is 278150301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103051873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65754 + ... + 67302.

It is an arithmetic number, because the mean of its divisors is an integer number (1953000).

Almost surely, 2^103051872 is an apocalyptic number.

103051872 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 103051872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488000).

103051872 is an abundant number, since it is smaller than the sum of its proper divisors (271924128).

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

103051872 is a wasteful number, since it uses less digits than its factorization.

103051872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 103051872 is about 10151.4467934379. The cubic root of 103051872 is about 468.8334916879.

The spelling of 103051872 in words is "one hundred three million, fifty-one thousand, eight hundred seventy-two".