105186742440 has 384 divisors, whose sum is σ = 349019591040. Its totient is φ = 25343705088.

The previous prime is 105186742399. The next prime is 105186742457. The reversal of 105186742440 is 44247681501.

It is a super-2 number, since 2×105186742440² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 105186742392 and 105186742401.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 336059724 + ... + 336060036.

It is an arithmetic number, because the mean of its divisors is an integer number (908905185).

Almost surely, 2^105186742440 is an apocalyptic number.

105186742440 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 105186742440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174509795520).

105186742440 is an abundant number, since it is smaller than the sum of its proper divisors (243832848600).

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

105186742440 is a wasteful number, since it uses less digits than its factorization.

105186742440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 105186742440 in words is "one hundred five billion, one hundred eighty-six million, seven hundred forty-two thousand, four hundred forty".