105654164010 has 32 divisors (see below), whose sum is σ = 253878157440. Its totient is φ = 28140203328.

The previous prime is 105654163973. The next prime is 105654164023. The reversal of 105654164010 is 10461456501.

105654164010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105654164010² (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 15 ways as a sum of consecutive naturals, for example, 2114925 + ... + 2164304.

It is an arithmetic number, because the mean of its divisors is an integer number (7933692420).

Almost surely, 2^105654164010 is an apocalyptic number.

105654164010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105654164010 is an abundant number, since it is smaller than the sum of its proper divisors (148223993430).

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

105654164010 is a wasteful number, since it uses less digits than its factorization.

105654164010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280062.

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 105654164010 in words is "one hundred five billion, six hundred fifty-four million, one hundred sixty-four thousand, ten".