102051261984 has 144 divisors (see below), whose sum is σ = 314534713248. Its totient is φ = 28884860928.

The previous prime is 102051261979. The next prime is 102051262003. The reversal of 102051261984 is 489162150201.

It is a hoax number, since the sum of its digits (39) 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 23 ways as a sum of consecutive naturals, for example, 401952 + ... + 604704.

It is an arithmetic number, because the mean of its divisors is an integer number (2184268842).

Almost surely, 2^102051261984 is an apocalyptic number.

102051261984 is a gapful number since it is divisible by the number (14) 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 102051261984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157267356624).

102051261984 is an abundant number, since it is smaller than the sum of its proper divisors (212483451264).

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

102051261984 is a wasteful number, since it uses less digits than its factorization.

102051261984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202887 (or 202872 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 102051261984 in words is "one hundred two billion, fifty-one million, two hundred sixty-one thousand, nine hundred eighty-four".