102571083700 has 72 divisors (see below), whose sum is σ = 224240272704. Its totient is φ = 40722720000.

The previous prime is 102571083683. The next prime is 102571083731. The reversal of 102571083700 is 7380175201.

It is a super-2 number, since 2×102571083700² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 25985127 + ... + 25989073.

It is an arithmetic number, because the mean of its divisors is an integer number (3114448232).

Almost surely, 2^102571083700 is an apocalyptic number.

102571083700 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 102571083700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112120136352).

102571083700 is an abundant number, since it is smaller than the sum of its proper divisors (121669189004).

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

102571083700 is a wasteful number, since it uses less digits than its factorization.

102571083700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5833 (or 5826 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

The spelling of 102571083700 in words is "one hundred two billion, five hundred seventy-one million, eighty-three thousand, seven hundred".