102961116 has 36 divisors (see below), whose sum is σ = 261005472. Its totient is φ = 34222464.

The previous prime is 102961109. The next prime is 102961141. The reversal of 102961116 is 611169201.

102961116 is a `hidden beast` number, since 10 + 29 + 611 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 102961116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9316 + ... + 17108.

It is an arithmetic number, because the mean of its divisors is an integer number (7250152).

Almost surely, 2^102961116 is an apocalyptic number.

It is an amenable number.

102961116 is an abundant number, since it is smaller than the sum of its proper divisors (158044356).

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

102961116 is a wasteful number, since it uses less digits than its factorization.

102961116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8170 (or 8165 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 102961116 is about 10146.9757070765. The cubic root of 102961116 is about 468.6958200846.

The spelling of 102961116 in words is "one hundred two million, nine hundred sixty-one thousand, one hundred sixteen".