106086816 has 72 divisors (see below), whose sum is σ = 329120064. Its totient is φ = 32146560.

The previous prime is 106086811. The next prime is 106086839. The reversal of 106086816 is 618680601.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106086816² = 22508825058035712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106086811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13576 + ... + 19911.

It is an arithmetic number, because the mean of its divisors is an integer number (4571112).

Almost surely, 2^106086816 is an apocalyptic number.

106086816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106086816 is an abundant number, since it is smaller than the sum of its proper divisors (223033248).

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

106086816 is a wasteful number, since it uses less digits than its factorization.

106086816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33514 (or 33503 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 106086816 is about 10299.8454357335. The cubic root of 106086816 is about 473.3915174568.

It can be divided in two parts, 10608 and 6816, that added together give a square (17424 = 132²).

The spelling of 106086816 in words is "one hundred six million, eighty-six thousand, eight hundred sixteen".