102653952 has 56 divisors (see below), whose sum is σ = 273792696. Its totient is φ = 34209792.

The previous prime is 102653933. The next prime is 102653953. The reversal of 102653952 is 259356201.

It is a super-2 number, since 2×102653952² = 21075667722436608, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102653953) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22488 + ... + 26664.

Almost surely, 2^102653952 is an apocalyptic number.

102653952 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 102653952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136896348).

102653952 is an abundant number, since it is smaller than the sum of its proper divisors (171138744).

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

102653952 is an frugal number, since it uses more digits than its factorization.

102653952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4206 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 102653952 is about 10131.8286602173. The cubic root of 102653952 is about 468.2292689199.

The spelling of 102653952 in words is "one hundred two million, six hundred fifty-three thousand, nine hundred fifty-two".