102538641920 has 160 divisors (see below), whose sum is σ = 288834638400. Its totient is φ = 34418442240.

The previous prime is 102538641917. The next prime is 102538641941. The reversal of 102538641920 is 29146835201.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226031 + ... + 506129.

It is an arithmetic number, because the mean of its divisors is an integer number (1805216490).

Almost surely, 2^102538641920 is an apocalyptic number.

102538641920 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 102538641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144417319200).

102538641920 is an abundant number, since it is smaller than the sum of its proper divisors (186295996480).

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

102538641920 is a wasteful number, since it uses less digits than its factorization.

102538641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280146 (or 280130 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The spelling of 102538641920 in words is "one hundred two billion, five hundred thirty-eight million, six hundred forty-one thousand, nine hundred twenty".