102153024 has 84 divisors (see below), whose sum is σ = 297285664. Its totient is φ = 33530112.

The previous prime is 102152989. The next prime is 102153047. The reversal of 102153024 is 420351201.

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 = 102152988 and 102153006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37269 + ... + 39915.

Almost surely, 2^102153024 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 102153024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148642832).

102153024 is an abundant number, since it is smaller than the sum of its proper divisors (195132640).

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

102153024 is a wasteful number, since it uses less digits than its factorization.

102153024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 102153024 is about 10107.0779159953. The cubic root of 102153024 is about 467.4664091701.

It can be divided in two parts, 1021 and 53024, that added together give a palindrome (54045).

The spelling of 102153024 in words is "one hundred two million, one hundred fifty-three thousand, twenty-four".