105236236870512 has 640 divisors, whose sum is σ = 325012922413056. Its totient is φ = 29227714560000.

The previous prime is 105236236870507. The next prime is 105236236870543. The reversal of 105236236870512 is 215078632632501.

It is a super-2 number, since 2×105236236870512² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 6691429593 + ... + 6691445319.

Almost surely, 2^{105236236870512} is an apocalyptic number.

105236236870512 is a gapful number since it is divisible by the number (12) 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 105236236870512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162506461206528).

105236236870512 is an abundant number, since it is smaller than the sum of its proper divisors (219776685542544).

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

105236236870512 is a wasteful number, since it uses less digits than its factorization.

105236236870512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15950 (or 15922 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 105236236870512 in words is "one hundred five trillion, two hundred thirty-six billion, two hundred thirty-six million, eight hundred seventy thousand, five hundred twelve".