105540665412 has 192 divisors, whose sum is σ = 321194764800. Its totient is φ = 26175135744.

The previous prime is 105540665407. The next prime is 105540665443. The reversal of 105540665412 is 214566045501.

It is a super-2 number, since 2×105540665412² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 36179778 + ... + 36182694.

It is an arithmetic number, because the mean of its divisors is an integer number (1672889400).

Almost surely, 2^105540665412 is an apocalyptic number.

105540665412 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 105540665412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160597382400).

105540665412 is an abundant number, since it is smaller than the sum of its proper divisors (215654099388).

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

105540665412 is a wasteful number, since it uses less digits than its factorization.

105540665412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4910 (or 4908 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 105540665412 in words is "one hundred five billion, five hundred forty million, six hundred sixty-five thousand, four hundred twelve".