105464742210 has 48 divisors (see below), whose sum is σ = 278301007296. Its totient is φ = 27704169504.

The previous prime is 105464742209. The next prime is 105464742263. The reversal of 105464742210 is 12247464501.

105464742210 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 647 + 4 + 2 + 2 + 1 + 0 = 666.

It is a super-2 number, since 2×105464742210² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8738974 + ... + 8751033.

It is an arithmetic number, because the mean of its divisors is an integer number (5797937652).

Almost surely, 2^105464742210 is an apocalyptic number.

105464742210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105464742210 is an abundant number, since it is smaller than the sum of its proper divisors (172836265086).

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

105464742210 is a wasteful number, since it uses less digits than its factorization.

105464742210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17490087 (or 17490084 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 105464742210 in words is "one hundred five billion, four hundred sixty-four million, seven hundred forty-two thousand, two hundred ten".