102757116 has 72 divisors (see below), whose sum is σ = 304286976. Its totient is φ = 26688480.

The previous prime is 102757079. The next prime is 102757153. The reversal of 102757116 is 611757201.

It is an interprime number because it is at equal distance from previous prime (102757079) and next prime (102757153).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1476 + ... + 14411.

It is an arithmetic number, because the mean of its divisors is an integer number (4226208).

Almost surely, 2^102757116 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 102757116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152143488).

102757116 is an abundant number, since it is smaller than the sum of its proper divisors (201529860).

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

102757116 is a wasteful number, since it uses less digits than its factorization.

102757116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15919 (or 15910 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 30.

The square root of 102757116 is about 10136.9184666742. The cubic root of 102757116 is about 468.3860683122.

It can be divided in two parts, 10275 and 7116, that added together give a triangular number (17391 = T₁₈₆).

The spelling of 102757116 in words is "one hundred two million, seven hundred fifty-seven thousand, one hundred sixteen".