102276640 has 48 divisors (see below), whose sum is σ = 244059480. Its totient is φ = 40499200.

The previous prime is 102276623. The next prime is 102276659. The reversal of 102276640 is 46672201.

It can be written as a sum of positive squares in 4 ways, for example, as 102171664 + 104976 = 10108^2 + 324^2 .

It is a super-2 number, since 2×102276640² = 20921022179379200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102276599 and 102276608.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12996 + ... + 19324.

Almost surely, 2^102276640 is an apocalyptic number.

102276640 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 102276640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122029740).

102276640 is an abundant number, since it is smaller than the sum of its proper divisors (141782840).

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

102276640 is a wasteful number, since it uses less digits than its factorization.

102276640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6445 (or 6437 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 102276640 is about 10113.1913855123. The cubic root of 102276640 is about 467.6548944830.

The spelling of 102276640 in words is "one hundred two million, two hundred seventy-six thousand, six hundred forty".