102799840 has 96 divisors (see below), whose sum is σ = 285386976. Its totient is φ = 34498560.

The previous prime is 102799819. The next prime is 102799847. The reversal of 102799840 is 48997201.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 102799793 and 102799802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102799847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20634 + ... + 25126.

It is an arithmetic number, because the mean of its divisors is an integer number (2972781).

Almost surely, 2^102799840 is an apocalyptic number.

102799840 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 102799840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142693488).

102799840 is an abundant number, since it is smaller than the sum of its proper divisors (182587136).

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

102799840 is a wasteful number, since it uses less digits than its factorization.

102799840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4532 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 102799840 is about 10139.0255942078. The cubic root of 102799840 is about 468.4509739667.

The spelling of 102799840 in words is "one hundred two million, seven hundred ninety-nine thousand, eight hundred forty".