105657007040 has 112 divisors (see below), whose sum is σ = 271073282592. Its totient is φ = 38993965056.

The previous prime is 105657007031. The next prime is 105657007103. The reversal of 105657007040 is 40700756501.

It is a super-2 number, since 2×105657007040² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12130367 + ... + 12139073.

It is an arithmetic number, because the mean of its divisors is an integer number (2420297166).

Almost surely, 2^105657007040 is an apocalyptic number.

105657007040 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 105657007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135536641296).

105657007040 is an abundant number, since it is smaller than the sum of its proper divisors (165416275552).

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

105657007040 is a wasteful number, since it uses less digits than its factorization.

105657007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11654 (or 11644 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

The spelling of 105657007040 in words is "one hundred five billion, six hundred fifty-seven million, seven thousand, forty".