105746461600 has 72 divisors (see below), whose sum is σ = 278011542060. Its totient is φ = 39044843520.

The previous prime is 105746461577. The next prime is 105746461603. The reversal of 105746461600 is 6164647501.

It can be written as a sum of positive squares in 6 ways, for example, as 44573343376 + 61173118224 = 211124^2 + 247332^2 .

It is a super-2 number, since 2×105746461600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (105746461603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5073565 + ... + 5094364.

Almost surely, 2^105746461600 is an apocalyptic number.

105746461600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105746461600 is an abundant number, since it is smaller than the sum of its proper divisors (172265080460).

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

105746461600 is a wasteful number, since it uses less digits than its factorization.

105746461600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10167962 (or 10167949 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 105746461600 in words is "one hundred five billion, seven hundred forty-six million, four hundred sixty-one thousand, six hundred".