106091136 has 192 divisors, whose sum is σ = 332560800. Its totient is φ = 32348160.

The previous prime is 106091113. The next prime is 106091143. The reversal of 106091136 is 631190601.

106091136 is a `hidden beast` number, since 10 + 609 + 11 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×106091136² = 22510658275540992, which contains 22 as substring.

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, 809791 + ... + 809921.

Almost surely, 2^106091136 is an apocalyptic number.

106091136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106091136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166280400).

106091136 is an abundant number, since it is smaller than the sum of its proper divisors (226469664).

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

106091136 is a wasteful number, since it uses less digits than its factorization.

106091136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 106091136 is about 10300.0551454834. The cubic root of 106091136 is about 473.3979430859.

The spelling of 106091136 in words is "one hundred six million, ninety-one thousand, one hundred thirty-six".