102465664 has 144 divisors (see below), whose sum is σ = 259798590. Its totient is φ = 39997440.

The previous prime is 102465653. The next prime is 102465677. The reversal of 102465664 is 466564201.

It can be written as a sum of positive squares in only one way, i.e., 75342400 + 27123264 = 8680^2 + 5208^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3305329 + ... + 3305359.

Almost surely, 2^102465664 is an apocalyptic number.

102465664 is a gapful number since it is divisible by the number (14) 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 102465664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129899295).

102465664 is an abundant number, since it is smaller than the sum of its proper divisors (157332926).

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

102465664 is an equidigital number, since it uses as much as digits as its factorization.

102465664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 102465664 is about 10122.5324894514. The cubic root of 102465664 is about 467.9428181530.

Multiplying 102465664 by its sum of digits (34), we get a square (3483832576 = 59024²).

102465664 divided by its sum of digits (34) gives a square (3013696 = 1736²).

The spelling of 102465664 in words is "one hundred two million, four hundred sixty-five thousand, six hundred sixty-four".