102052926 has 48 divisors (see below), whose sum is σ = 230766480. Its totient is φ = 33430320.

The previous prime is 102052903. The next prime is 102052963. The reversal of 102052926 is 629250201.

It is a super-2 number, since 2×102052926² = 20829599410322952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 102052926.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242196 + ... + 242616.

It is an arithmetic number, because the mean of its divisors is an integer number (4807635).

Almost surely, 2^102052926 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102052926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115383240).

102052926 is an abundant number, since it is smaller than the sum of its proper divisors (128713554).

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

102052926 is an equidigital number, since it uses as much as digits as its factorization.

102052926 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 102052926 is about 10102.1248259958. The cubic root of 102052926 is about 467.3136718262.

It can be divided in two parts, 10205 and 2926, that added together give a palindrome (13131).

The spelling of 102052926 in words is "one hundred two million, fifty-two thousand, nine hundred twenty-six".