105666362000 has 40 divisors (see below), whose sum is σ = 255501268152. Its totient is φ = 42266544000.

The previous prime is 105666361991. The next prime is 105666362029. The reversal of 105666362000 is 263666501.

It can be written as a sum of positive squares in 4 ways, for example, as 20840964496 + 84825397504 = 144364^2 + 291248^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105666362000² (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 7 ways as a sum of consecutive naturals, for example, 26414591 + ... + 26418590.

Almost surely, 2^105666362000 is an apocalyptic number.

105666362000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105666362000 is an abundant number, since it is smaller than the sum of its proper divisors (149834906152).

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

105666362000 is an equidigital number, since it uses as much as digits as its factorization.

105666362000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52833204 (or 52833188 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The spelling of 105666362000 in words is "one hundred five billion, six hundred sixty-six million, three hundred sixty-two thousand".