102700840 has 64 divisors (see below), whose sum is σ = 254689920. Its totient is φ = 36960000.

The previous prime is 102700823. The next prime is 102700877. The reversal of 102700840 is 48007201.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43285 + ... + 45595.

It is an arithmetic number, because the mean of its divisors is an integer number (3979530).

Almost surely, 2^102700840 is an apocalyptic number.

102700840 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 102700840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127344960).

102700840 is an abundant number, since it is smaller than the sum of its proper divisors (151989080).

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

102700840 is a wasteful number, since it uses less digits than its factorization.

102700840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 102700840 is about 10134.1422922712. The cubic root of 102700840 is about 468.3005472025.

The spelling of 102700840 in words is "one hundred two million, seven hundred thousand, eight hundred forty".