105122451040 has 48 divisors (see below), whose sum is σ = 248545847088. Its totient is φ = 42016124416.

The previous prime is 105122451037. The next prime is 105122451053. The reversal of 105122451040 is 40154221501.

It is a super-2 number, since 2×105122451040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105122450996 and 105122451014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50767 + ... + 461326.

It is an arithmetic number, because the mean of its divisors is an integer number (5178038481).

Almost surely, 2^105122451040 is an apocalyptic number.

105122451040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105122451040 is an abundant number, since it is smaller than the sum of its proper divisors (143423396048).

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

105122451040 is a wasteful number, since it uses less digits than its factorization.

105122451040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513391 (or 513383 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 105122451040 its reverse (40154221501), we get a palindrome (145276672541).

The spelling of 105122451040 in words is "one hundred five billion, one hundred twenty-two million, four hundred fifty-one thousand, forty".