102552105413010 has 192 divisors, whose sum is σ = 280823041134720. Its totient is φ = 23768209597440.

The previous prime is 102552105412963. The next prime is 102552105413071. The reversal of 102552105413010 is 10314501255201.

It is a super-2 number, since 2×102552105413010² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 348469206 + ... + 348763374.

It is an arithmetic number, because the mean of its divisors is an integer number (1462620005910).

Almost surely, 2^{102552105413010} is an apocalyptic number.

102552105413010 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 102552105413010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140411520567360).

102552105413010 is an abundant number, since it is smaller than the sum of its proper divisors (178270935721710).

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

102552105413010 is a wasteful number, since it uses less digits than its factorization.

102552105413010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296233 (or 296210 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

Adding to 102552105413010 its reverse (10314501255201), we get a palindrome (112866606668211).

The spelling of 102552105413010 in words is "one hundred two trillion, five hundred fifty-two billion, one hundred five million, four hundred thirteen thousand, ten".