102578620 has 48 divisors (see below), whose sum is σ = 226255680. Its totient is φ = 38990336.

The previous prime is 102578617. The next prime is 102578647. The reversal of 102578620 is 26875201.

It is a super-2 number, since 2×102578620² = 21044746562208800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78936 + ... + 80224.

It is an arithmetic number, because the mean of its divisors is an integer number (4713660).

Almost surely, 2^102578620 is an apocalyptic number.

102578620 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 102578620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113127840).

102578620 is an abundant number, since it is smaller than the sum of its proper divisors (123677060).

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

102578620 is a wasteful number, since it uses less digits than its factorization.

102578620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 102578620 is about 10128.1103864443. The cubic root of 102578620 is about 468.1147051247.

The spelling of 102578620 in words is "one hundred two million, five hundred seventy-eight thousand, six hundred twenty".