106071336 has 192 divisors, whose sum is σ = 352713600. Its totient is φ = 28926720.

The previous prime is 106071323. The next prime is 106071337. The reversal of 106071336 is 633170601.

106071336 is a `hidden beast` number, since 10 + 607 + 13 + 36 = 666.

It is a super-2 number, since 2×106071336² = 22502256641649792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106071337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1452996 + ... + 1453068.

It is an arithmetic number, because the mean of its divisors is an integer number (1837050).

Almost surely, 2^106071336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106071336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176356800).

106071336 is an abundant number, since it is smaller than the sum of its proper divisors (246642264).

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

106071336 is a wasteful number, since it uses less digits than its factorization.

106071336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 106071336 is about 10299.0939407309. The cubic root of 106071336 is about 473.3684908533.

The spelling of 106071336 in words is "one hundred six million, seventy-one thousand, three hundred thirty-six".