106837731 has 128 divisors (see below), whose sum is σ = 219340800. Its totient is φ = 49610880.

The previous prime is 106837729. The next prime is 106837751. The reversal of 106837731 is 137738601.

It is not a de Polignac number, because 106837731 - 2¹ = 106837729 is a prime.

It is a super-2 number, since 2×106837731² = 22828601530456722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106837751) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1594560 + ... + 1594626.

It is an arithmetic number, because the mean of its divisors is an integer number (1713600).

Almost surely, 2^106837731 is an apocalyptic number.

106837731 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106837731 is an abundant number, since it is smaller than the sum of its proper divisors (112503069).

106837731 is a wasteful number, since it uses less digits than its factorization.

106837731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 106837731 is about 10336.2338886076. The cubic root of 106837731 is about 474.5058291839.

The spelling of 106837731 in words is "one hundred six million, eight hundred thirty-seven thousand, seven hundred thirty-one".