106013810 has 32 divisors (see below), whose sum is σ = 218557440. Its totient is φ = 36268992.

The previous prime is 106013807. The next prime is 106013849. The reversal of 106013810 is 18310601.

It is a super-2 number, since 2×106013810² = 22477855821432200, which 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, 37631 + ... + 40349.

It is an arithmetic number, because the mean of its divisors is an integer number (6829920).

Almost surely, 2^106013810 is an apocalyptic number.

106013810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106013810 is an abundant number, since it is smaller than the sum of its proper divisors (112543630).

106013810 is a wasteful number, since it uses less digits than its factorization.

106013810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3290.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 106013810 is about 10296.3007920321. The cubic root of 106013810 is about 473.2829009064.

The spelling of 106013810 in words is "one hundred six million, thirteen thousand, eight hundred ten".