102952773000 has 1152 divisors, whose sum is σ = 465250780800. Its totient is φ = 20248704000.

The previous prime is 102952772987. The next prime is 102952773071. The reversal of 102952773000 is 377259201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 92168442 + ... + 92169558.

It is an arithmetic number, because the mean of its divisors is an integer number (403863525).

Almost surely, 2^102952773000 is an apocalyptic number.

102952773000 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 102952773000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232625390400).

102952773000 is an abundant number, since it is smaller than the sum of its proper divisors (362298007800).

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

102952773000 is a wasteful number, since it uses less digits than its factorization.

102952773000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 102952773000 in words is "one hundred two billion, nine hundred fifty-two million, seven hundred seventy-three thousand".