102252024 has 96 divisors (see below), whose sum is σ = 330440400. Its totient is φ = 29211840.

The previous prime is 102252023. The next prime is 102252047. The reversal of 102252024 is 420252201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102251988 and 102252006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102252023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5754 + ... + 15414.

Almost surely, 2^102252024 is an apocalyptic number.

102252024 is a gapful number since it is divisible by the number (14) 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 102252024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165220200).

102252024 is an abundant number, since it is smaller than the sum of its proper divisors (228188376).

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

102252024 is a wasteful number, since it uses less digits than its factorization.

102252024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9690 (or 9673 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 102252024 is about 10111.9742879420. The cubic root of 102252024 is about 467.6173729905.

The spelling of 102252024 in words is "one hundred two million, two hundred fifty-two thousand, twenty-four".