102525427710 has 96 divisors (see below), whose sum is σ = 269377449120. Its totient is φ = 27052591104.

The previous prime is 102525427637. The next prime is 102525427729. The reversal of 102525427710 is 17724525201.

102525427710 is a `hidden beast` number, since 10 + 2 + 525 + 42 + 77 + 10 = 666.

It is a super-2 number, since 2×102525427710² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6266721 + ... + 6283059.

It is an arithmetic number, because the mean of its divisors is an integer number (2806015095).

Almost surely, 2^102525427710 is an apocalyptic number.

102525427710 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 102525427710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134688724560).

102525427710 is an abundant number, since it is smaller than the sum of its proper divisors (166852021410).

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

102525427710 is a wasteful number, since it uses less digits than its factorization.

102525427710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17082 (or 17079 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 102525427710 in words is "one hundred two billion, five hundred twenty-five million, four hundred twenty-seven thousand, seven hundred ten".