103682152 has 64 divisors (see below), whose sum is σ = 228614400. Its totient is φ = 43169280.

The previous prime is 103682149. The next prime is 103682179. The reversal of 103682152 is 251286301.

It is a super-2 number, since 2×103682152² = 21499977286702208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 103682152.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353718 + ... + 354010.

It is an arithmetic number, because the mean of its divisors is an integer number (3572100).

Almost surely, 2^103682152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103682152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114307200).

103682152 is an abundant number, since it is smaller than the sum of its proper divisors (124932248).

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

103682152 is a wasteful number, since it uses less digits than its factorization.

103682152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 103682152 is about 10182.4433217180. The cubic root of 103682152 is about 469.7873672246.

The spelling of 103682152 in words is "one hundred three million, six hundred eighty-two thousand, one hundred fifty-two".