102653152 has 48 divisors (see below), whose sum is σ = 238436352. Its totient is φ = 42572160.

The previous prime is 102653137. The next prime is 102653167. The reversal of 102653152 is 251356201.

It is an interprime number because it is at equal distance from previous prime (102653137) and next prime (102653167).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 448 + ... + 14335.

It is an arithmetic number, because the mean of its divisors is an integer number (4967424).

Almost surely, 2^102653152 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 102653152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119218176).

102653152 is an abundant number, since it is smaller than the sum of its proper divisors (135783200).

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

102653152 is a wasteful number, since it uses less digits than its factorization.

102653152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14831 (or 14823 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 102653152 is about 10131.7891805939. The cubic root of 102653152 is about 468.2280525862.

The spelling of 102653152 in words is "one hundred two million, six hundred fifty-three thousand, one hundred fifty-two".