106513781 has 16 divisors (see below), whose sum is σ = 120657600. Its totient is φ = 93139200.

The previous prime is 106513751. The next prime is 106513807. The reversal of 106513781 is 187315601.

It is not a de Polignac number, because 106513781 - 2⁶ = 106513717 is a prime.

It is a super-2 number, since 2×106513781² = 22690371085831922, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106513711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120461 + ... + 121341.

It is an arithmetic number, because the mean of its divisors is an integer number (7541100).

Almost surely, 2^106513781 is an apocalyptic number.

106513781 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106513781 is a deficient number, since it is larger than the sum of its proper divisors (14143819).

106513781 is a wasteful number, since it uses less digits than its factorization.

106513781 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300.

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 106513781 is about 10320.5513903086. The cubic root of 106513781 is about 474.0257497569.

The spelling of 106513781 in words is "one hundred six million, five hundred thirteen thousand, seven hundred eighty-one".