103706172 has 72 divisors (see below), whose sum is σ = 275184000. Its totient is φ = 32868000.

The previous prime is 103706167. The next prime is 103706201. The reversal of 103706172 is 271607301.

103706172 is a `hidden beast` number, since 10 + 37 + 0 + 617 + 2 = 666.

It is a super-2 number, since 2×103706172² = 21509940221787168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207579 + ... + 208077.

It is an arithmetic number, because the mean of its divisors is an integer number (3822000).

Almost surely, 2^103706172 is an apocalyptic number.

103706172 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 103706172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592000).

103706172 is an abundant number, since it is smaller than the sum of its proper divisors (171477828).

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

103706172 is a wasteful number, since it uses less digits than its factorization.

103706172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 103706172 is about 10183.6227345675. The cubic root of 103706172 is about 469.8236429031.

The spelling of 103706172 in words is "one hundred three million, seven hundred six thousand, one hundred seventy-two".