105010477080 has 64 divisors (see below), whose sum is σ = 315226598400. Its totient is φ = 27985445760.

The previous prime is 105010477069. The next prime is 105010477097. The reversal of 105010477080 is 80774010501.

It is a super-2 number, since 2×105010477080² (a number of 23 digits) contains 22 as substring.

It is a congruent 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, 75976 + ... + 464535.

It is an arithmetic number, because the mean of its divisors is an integer number (4925415600).

Almost surely, 2^105010477080 is an apocalyptic number.

105010477080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105010477080 is an abundant number, since it is smaller than the sum of its proper divisors (210216121320).

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

105010477080 is a wasteful number, since it uses less digits than its factorization.

105010477080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542144 (or 542140 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

Adding to 105010477080 its reverse (80774010501), we get a palindrome (185784487581).

The spelling of 105010477080 in words is "one hundred five billion, ten million, four hundred seventy-seven thousand, eighty".