102051061024 has 96 divisors (see below), whose sum is σ = 220640112000. Its totient is φ = 46078464000.

The previous prime is 102051060989. The next prime is 102051061043. The reversal of 102051061024 is 420160150201.

It is a super-2 number, since 2×102051061024² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 102051060986 and 102051061004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37121602 + ... + 37124350.

It is an arithmetic number, because the mean of its divisors is an integer number (2298334500).

Almost surely, 2^102051061024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102051061024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110320056000).

102051061024 is an abundant number, since it is smaller than the sum of its proper divisors (118589050976).

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

102051061024 is a wasteful number, since it uses less digits than its factorization.

102051061024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3426 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The spelling of 102051061024 in words is "one hundred two billion, fifty-one million, sixty-one thousand, twenty-four".