103951872 has 120 divisors (see below), whose sum is σ = 317899296. Its totient is φ = 32587776.

The previous prime is 103951871. The next prime is 103951877. The reversal of 103951872 is 278159301.

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 (103951871) 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, 77673 + ... + 78999.

Almost surely, 2^103951872 is an apocalyptic number.

103951872 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 103951872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158949648).

103951872 is an abundant number, since it is smaller than the sum of its proper divisors (213947424).

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

103951872 is a wasteful number, since it uses less digits than its factorization.

103951872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 103951872 is about 10195.6790847888. The cubic root of 103951872 is about 470.1943846616.

The spelling of 103951872 in words is "one hundred three million, nine hundred fifty-one thousand, eight hundred seventy-two".