102514272 has 288 divisors, whose sum is σ = 349332480. Its totient is φ = 26127360.

The previous prime is 102514261. The next prime is 102514283. The reversal of 102514272 is 272415201.

It is an interprime number because it is at equal distance from previous prime (102514261) and next prime (102514283).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 14.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2770638 + ... + 2770674.

It is an arithmetic number, because the mean of its divisors is an integer number (1212960).

Almost surely, 2^102514272 is an apocalyptic number.

102514272 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 102514272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174666240).

102514272 is an abundant number, since it is smaller than the sum of its proper divisors (246818208).

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

102514272 is a wasteful number, since it uses less digits than its factorization.

102514272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 102514272 is about 10124.9331849647. The cubic root of 102514272 is about 468.0168012085.

Adding to 102514272 its reverse (272415201), we get a palindrome (374929473).

The spelling of 102514272 in words is "one hundred two million, five hundred fourteen thousand, two hundred seventy-two".