105526032783380 has 192 divisors, whose sum is σ = 261945583941888. Its totient is φ = 35273049047040.

The previous prime is 105526032783349. The next prime is 105526032783407. The reversal of 105526032783380 is 83387230625501.

It is a super-2 number, since 2×105526032783380² (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 63 ways as a sum of consecutive naturals, for example, 2951511584 + ... + 2951547336.

It is an arithmetic number, because the mean of its divisors is an integer number (1364299916364).

Almost surely, 2^{105526032783380} is an apocalyptic number.

105526032783380 is a gapful number since it is divisible by the number (10) 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 105526032783380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130972791970944).

105526032783380 is an abundant number, since it is smaller than the sum of its proper divisors (156419551158508).

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

105526032783380 is a wasteful number, since it uses less digits than its factorization.

105526032783380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54186 (or 54184 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 53.

The spelling of 105526032783380 in words is "one hundred five trillion, five hundred twenty-six billion, thirty-two million, seven hundred eighty-three thousand, three hundred eighty".