102500945850 has 96 divisors (see below), whose sum is σ = 259078596480. Its totient is φ = 26814240000.

The previous prime is 102500945809. The next prime is 102500945879. The reversal of 102500945850 is 58549005201.

It is a junction number, because it is equal to n+sod(n) for n = 102500945799 and 102500945808.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1620315 + ... + 1682385.

It is an arithmetic number, because the mean of its divisors is an integer number (2698735380).

Almost surely, 2^102500945850 is an apocalyptic number.

102500945850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102500945850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129539298240).

102500945850 is an abundant number, since it is smaller than the sum of its proper divisors (156577650630).

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

102500945850 is a wasteful number, since it uses less digits than its factorization.

102500945850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62296 (or 62291 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 39.

The spelling of 102500945850 in words is "one hundred two billion, five hundred million, nine hundred forty-five thousand, eight hundred fifty".