102858866400 has 144 divisors (see below), whose sum is σ = 338568174000. Its totient is φ = 27120783360.

The previous prime is 102858866389. The next prime is 102858866483. The reversal of 102858866400 is 4668858201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 102858866400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27175 + ... + 454374.

It is an arithmetic number, because the mean of its divisors is an integer number (2351167875).

Almost surely, 2^102858866400 is an apocalyptic number.

102858866400 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 102858866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169284087000).

102858866400 is an abundant number, since it is smaller than the sum of its proper divisors (235709307600).

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

102858866400 is a wasteful number, since it uses less digits than its factorization.

102858866400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481661 (or 481648 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 102858866400 in words is "one hundred two billion, eight hundred fifty-eight million, eight hundred sixty-six thousand, four hundred".