103133952 has 144 divisors (see below), whose sum is σ = 312977280. Its totient is φ = 33481728.

The previous prime is 103133941. The next prime is 103133959. The reversal of 103133952 is 259331301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×103133952² = 21273224110276608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (103133959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297043 + ... + 297389.

Almost surely, 2^103133952 is an apocalyptic number.

103133952 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 103133952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156488640).

103133952 is an abundant number, since it is smaller than the sum of its proper divisors (209843328).

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

103133952 is an equidigital number, since it uses as much as digits as its factorization.

103133952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 103133952 is about 10155.4887622408. The cubic root of 103133952 is about 468.9579327095.

The spelling of 103133952 in words is "one hundred three million, one hundred thirty-three thousand, nine hundred fifty-two".