105680070 has 48 divisors (see below), whose sum is σ = 275307552. Its totient is φ = 28126080.

The previous prime is 105680053. The next prime is 105680087. The reversal of 105680070 is 70086501.

It is an interprime number because it is at equal distance from previous prime (105680053) and next prime (105680087).

It is a super-2 number, since 2×105680070² = 22336554390409800, which 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 23 ways as a sum of consecutive naturals, for example, 67719 + ... + 69261.

It is an arithmetic number, because the mean of its divisors is an integer number (5735574).

Almost surely, 2^105680070 is an apocalyptic number.

105680070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105680070 is an abundant number, since it is smaller than the sum of its proper divisors (169627482).

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

105680070 is a wasteful number, since it uses less digits than its factorization.

105680070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 105680070 is about 10280.0812253600. The cubic root of 105680070 is about 472.7857346225.

The spelling of 105680070 in words is "one hundred five million, six hundred eighty thousand, seventy".