102052496 has 240 divisors, whose sum is σ = 284981760. Its totient is φ = 34836480.

The previous prime is 102052493. The next prime is 102052499. The reversal of 102052496 is 694250201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102052493) and next prime (102052499).

It is not an unprimeable number, because it can be changed into a prime (102052493) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3292001 + ... + 3292031.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 2^102052496 is an apocalyptic number.

102052496 is a gapful number since it is divisible by the number (16) 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 102052496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

102052496 is an abundant number, since it is smaller than the sum of its proper divisors (182929264).

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

102052496 is a wasteful number, since it uses less digits than its factorization.

102052496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 102052496 is about 10102.1035433221. The cubic root of 102052496 is about 467.3130154833.

The spelling of 102052496 in words is "one hundred two million, fifty-two thousand, four hundred ninety-six".