103561152 has 56 divisors (see below), whose sum is σ = 279202896. Its totient is φ = 33865728.

The previous prime is 103561151. The next prime is 103561181. The reversal of 103561152 is 251165301.

It is a super-3 number, since 3×103561152³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103561151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5088 + ... + 15264.

It is an arithmetic number, because the mean of its divisors is an integer number (4985766).

Almost surely, 2^103561152 is an apocalyptic number.

103561152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 10176×10177.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103561152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139601448).

103561152 is an abundant number, since it is smaller than the sum of its proper divisors (175641744).

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

103561152 is a wasteful number, since it uses less digits than its factorization.

103561152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10245 (or 10235 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 103561152 is about 10176.4999877168. The cubic root of 103561152 is about 469.6045443772.

The spelling of 103561152 in words is "one hundred three million, five hundred sixty-one thousand, one hundred fifty-two".