102090618 has 84 divisors (see below), whose sum is σ = 267271290. Its totient is φ = 29148336.

The previous prime is 102090617. The next prime is 102090683. The reversal of 102090618 is 816090201.

It can be written as a sum of positive squares in only one way, i.e., 100340289 + 1750329 = 10017^2 + 1323^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 102090591 and 102090600.

It is not an unprimeable number, because it can be changed into a prime (102090617) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 70728 + ... + 72156.

Almost surely, 2^102090618 is an apocalyptic number.

102090618 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102090618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133635645).

102090618 is an abundant number, since it is smaller than the sum of its proper divisors (165180672).

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

102090618 is an equidigital number, since it uses as much as digits as its factorization.

102090618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 102090618 is about 10103.9902018955. The cubic root of 102090618 is about 467.3711969411.

The spelling of 102090618 in words is "one hundred two million, ninety thousand, six hundred eighteen".