102357877000 has 128 divisors (see below), whose sum is σ = 248830433280. Its totient is φ = 39368160000.

The previous prime is 102357876983. The next prime is 102357877079. The reversal of 102357877000 is 778753201.

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

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 31 ways as a sum of consecutive naturals, for example, 4856485 + ... + 4877515.

It is an arithmetic number, because the mean of its divisors is an integer number (1943987760).

Almost surely, 2^102357877000 is an apocalyptic number.

102357877000 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 102357877000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124415216640).

102357877000 is an abundant number, since it is smaller than the sum of its proper divisors (146472556280).

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

102357877000 is a wasteful number, since it uses less digits than its factorization.

102357877000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21240 (or 21226 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 40.

The spelling of 102357877000 in words is "one hundred two billion, three hundred fifty-seven million, eight hundred seventy-seven thousand".