102961608 has 128 divisors (see below), whose sum is σ = 285120000. Its totient is φ = 30868992.

The previous prime is 102961603. The next prime is 102961739. The reversal of 102961608 is 806169201.

It is a Cunningham number, because it is equal to 10147²-1.

It is not an unprimeable number, because it can be changed into a prime (102961601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1156828 + ... + 1156916.

It is an arithmetic number, because the mean of its divisors is an integer number (2227500).

Almost surely, 2^102961608 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 102961608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142560000).

102961608 is an abundant number, since it is smaller than the sum of its proper divisors (182158392).

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

102961608 is a wasteful number, since it uses less digits than its factorization.

102961608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 102961608 is about 10146.9999507244. Note that the first 4 decimals coincide. The cubic root of 102961608 is about 468.6965666382.

The spelling of 102961608 in words is "one hundred two million, nine hundred sixty-one thousand, six hundred eight".