103152852 has 120 divisors (see below), whose sum is σ = 298089792. Its totient is φ = 30844800.

The previous prime is 103152737. The next prime is 103152853. The reversal of 103152852 is 258251301.

It is a happy number.

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 (103152853) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 366952 + ... + 367232.

Almost surely, 2^103152852 is an apocalyptic number.

103152852 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 103152852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149044896).

103152852 is an abundant number, since it is smaller than the sum of its proper divisors (194936940).

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

103152852 is a wasteful number, since it uses less digits than its factorization.

103152852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 103152852 is about 10156.4192508974. The cubic root of 103152852 is about 468.9865775395.

The spelling of 103152852 in words is "one hundred three million, one hundred fifty-two thousand, eight hundred fifty-two".