105315826040 has 32 divisors (see below), whose sum is σ = 237310685280. Its totient is φ = 42064094592.

The previous prime is 105315826037. The next prime is 105315826069. The reversal of 105315826040 is 40628513501.

It is a super-2 number, since 2×105315826040² (a number of 23 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 7 ways as a sum of consecutive naturals, for example, 1917452 + ... + 1971611.

It is an arithmetic number, because the mean of its divisors is an integer number (7415958915).

Almost surely, 2^105315826040 is an apocalyptic number.

105315826040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105315826040 is an abundant number, since it is smaller than the sum of its proper divisors (131994859240).

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

105315826040 is a wasteful number, since it uses less digits than its factorization.

105315826040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3889751 (or 3889747 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 105315826040 in words is "one hundred five billion, three hundred fifteen million, eight hundred twenty-six thousand, forty".