105046574440 has 32 divisors (see below), whose sum is σ = 239882482080. Its totient is φ = 41391484992.

The previous prime is 105046574383. The next prime is 105046574443. The reversal of 105046574440 is 44475640501.

It is a super-2 number, since 2×105046574440² (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 a junction number, because it is equal to n+sod(n) for n = 105046574393 and 105046574402.

It is not an unprimeable number, because it can be changed into a prime (105046574443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19595562 + ... + 19600921.

It is an arithmetic number, because the mean of its divisors is an integer number (7496327565).

Almost surely, 2^105046574440 is an apocalyptic number.

105046574440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105046574440 is an abundant number, since it is smaller than the sum of its proper divisors (134835907640).

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

105046574440 is a wasteful number, since it uses less digits than its factorization.

105046574440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39196561 (or 39196557 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 40.

The spelling of 105046574440 in words is "one hundred five billion, forty-six million, five hundred seventy-four thousand, four hundred forty".