102786840 has 128 divisors (see below), whose sum is σ = 369028800. Its totient is φ = 25297920.

The previous prime is 102786829. The next prime is 102786857. The reversal of 102786840 is 48687201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 102786795 and 102786804.

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, 10380 + ... + 17700.

Almost surely, 2^102786840 is an apocalyptic number.

102786840 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 102786840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184514400).

102786840 is an abundant number, since it is smaller than the sum of its proper divisors (266241960).

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

102786840 is a wasteful number, since it uses less digits than its factorization.

102786840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7354 (or 7344 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 102786840 is about 10138.3844866921. The cubic root of 102786840 is about 468.4312264671.

The spelling of 102786840 in words is "one hundred two million, seven hundred eighty-six thousand, eight hundred forty".