105112512552630 has 256 divisors, whose sum is σ = 295939859005440. Its totient is φ = 23619996979200.

The previous prime is 105112512552617. The next prime is 105112512552647. The reversal of 105112512552630 is 36255215211501.

It is a super-2 number, since 2×105112512552630² (a number of 29 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 127 ways as a sum of consecutive naturals, for example, 1021638790 + ... + 1021741670.

It is an arithmetic number, because the mean of its divisors is an integer number (1156015074240).

Almost surely, 2^{105112512552630} is an apocalyptic number.

105112512552630 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 105112512552630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147969929502720).

105112512552630 is an abundant number, since it is smaller than the sum of its proper divisors (190827346452810).

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

105112512552630 is a wasteful number, since it uses less digits than its factorization.

105112512552630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106435.

The product of its (nonzero) digits is 90000, while the sum is 39.

The spelling of 105112512552630 in words is "one hundred five trillion, one hundred twelve billion, five hundred twelve million, five hundred fifty-two thousand, six hundred thirty".