105066680000 has 140 divisors (see below), whose sum is σ = 267576373152. Its totient is φ = 40890240000.

The previous prime is 105066679987. The next prime is 105066680041. The reversal of 105066680000 is 86660501.

It is a super-2 number, since 2×105066680000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1444505 + ... + 1515495.

Almost surely, 2^105066680000 is an apocalyptic number.

105066680000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105066680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133788186576).

105066680000 is an abundant number, since it is smaller than the sum of its proper divisors (162509693152).

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

105066680000 is an frugal number, since it uses more digits than its factorization.

105066680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71060 (or 71035 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 105066680000 in words is "one hundred five billion, sixty-six million, six hundred eighty thousand".