105249477890 has 32 divisors (see below), whose sum is σ = 190851266880. Its totient is φ = 41789040064.

The previous prime is 105249477887. The next prime is 105249477953. The reversal of 105249477890 is 98774942501.

It is a happy number.

It is a super-2 number, since 2×105249477890² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 944249 + ... + 1049811.

It is an arithmetic number, because the mean of its divisors is an integer number (5964102090).

Almost surely, 2^105249477890 is an apocalyptic number.

105249477890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105249477890 is a deficient number, since it is larger than the sum of its proper divisors (85601788990).

105249477890 is a wasteful number, since it uses less digits than its factorization.

105249477890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106306.

The product of its (nonzero) digits is 5080320, while the sum is 56.

The spelling of 105249477890 in words is "one hundred five billion, two hundred forty-nine million, four hundred seventy-seven thousand, eight hundred ninety".