106907136 has 160 divisors (see below), whose sum is σ = 332859648. Its totient is φ = 29859840.

The previous prime is 106907123. The next prime is 106907147. The reversal of 106907136 is 631709601.

It is a super-2 number, since 2×106907136² = 22858271455444992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106907097 and 106907106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655791 + ... + 655953.

Almost surely, 2^106907136 is an apocalyptic number.

106907136 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 106907136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166429824).

106907136 is an abundant number, since it is smaller than the sum of its proper divisors (225952512).

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

106907136 is an equidigital number, since it uses as much as digits as its factorization.

106907136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 106907136 is about 10339.5907075667. The cubic root of 106907136 is about 474.6085580229.

The spelling of 106907136 in words is "one hundred six million, nine hundred seven thousand, one hundred thirty-six".