102398040 has 128 divisors (see below), whose sum is σ = 347328000. Its totient is φ = 26826624.

The previous prime is 102398029. The next prime is 102398059. The reversal of 102398040 is 40893201.

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 = 102397995 and 102398013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62917 + ... + 64523.

It is an arithmetic number, because the mean of its divisors is an integer number (2713500).

Almost surely, 2^102398040 is an apocalyptic number.

102398040 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 102398040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173664000).

102398040 is an abundant number, since it is smaller than the sum of its proper divisors (244929960).

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

102398040 is a wasteful number, since it uses less digits than its factorization.

102398040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 102398040 is about 10119.1916673220. The cubic root of 102398040 is about 467.8398531602.

The spelling of 102398040 in words is "one hundred two million, three hundred ninety-eight thousand, forty".