102692016 has 160 divisors (see below), whose sum is σ = 348787200. Its totient is φ = 28304640.

The previous prime is 102691991. The next prime is 102692047. The reversal of 102692016 is 610296201.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 87111 + ... + 88281.

It is an arithmetic number, because the mean of its divisors is an integer number (2179920).

Almost surely, 2^102692016 is an apocalyptic number.

102692016 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 102692016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174393600).

102692016 is an abundant number, since it is smaller than the sum of its proper divisors (246095184).

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

102692016 is a wasteful number, since it uses less digits than its factorization.

102692016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 102692016 is about 10133.7069229379. The cubic root of 102692016 is about 468.2871347761.

The spelling of 102692016 in words is "one hundred two million, six hundred ninety-two thousand, sixteen".