102616000 has 112 divisors (see below), whose sum is σ = 258665472. Its totient is φ = 40320000.

The previous prime is 102615937. The next prime is 102616013. The reversal of 102616000 is 616201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 807937 + ... + 808063.

Almost surely, 2^102616000 is an apocalyptic number.

102616000 is a gapful number since it is divisible by the number (10) 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 102616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129332736).

102616000 is an abundant number, since it is smaller than the sum of its proper divisors (156049472).

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

102616000 is a wasteful number, since it uses less digits than its factorization.

102616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 102616000 is about 10129.9555773952. The cubic root of 102616000 is about 468.1715590859.

It can be divided in two parts, 10261 and 6000, that added together give a palindrome (16261).

The spelling of 102616000 in words is "one hundred two million, six hundred sixteen thousand".