102609696 has 192 divisors, whose sum is σ = 325721088. Its totient is φ = 27675648.

The previous prime is 102609677. The next prime is 102609701. The reversal of 102609696 is 696906201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1531455 + ... + 1531521.

It is an arithmetic number, because the mean of its divisors is an integer number (1696464).

Almost surely, 2^102609696 is an apocalyptic number.

102609696 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 102609696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162860544).

102609696 is an abundant number, since it is smaller than the sum of its proper divisors (223111392).

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

102609696 is a wasteful number, since it uses less digits than its factorization.

102609696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 102609696 is about 10129.6444162665. The cubic root of 102609696 is about 468.1619718417.

The spelling of 102609696 in words is "one hundred two million, six hundred nine thousand, six hundred ninety-six".