106091700 has 144 divisors (see below), whose sum is σ = 360768576. Its totient is φ = 23731200.

The previous prime is 106091693. The next prime is 106091701. The reversal of 106091700 is 7190601.

It is a super-2 number, since 2×106091700² = 22510897617780000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106091701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41664 + ... + 44136.

Almost surely, 2^106091700 is an apocalyptic number.

106091700 is a gapful number since it is divisible by the number (10) 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 106091700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180384288).

106091700 is an abundant number, since it is smaller than the sum of its proper divisors (254676876).

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

106091700 is a wasteful number, since it uses less digits than its factorization.

106091700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 106091700 is about 10300.0825239413. The cubic root of 106091700 is about 473.3987819746.

The spelling of 106091700 in words is "one hundred six million, ninety-one thousand, seven hundred".