106768590 has 16 divisors (see below), whose sum is σ = 256244688. Its totient is φ = 28471616.

The previous prime is 106768577. The next prime is 106768591. The reversal of 106768590 is 95867601.

It is a super-3 number, since 3×106768590³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106768591) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1779447 + ... + 1779506.

It is an arithmetic number, because the mean of its divisors is an integer number (16015293).

Almost surely, 2^106768590 is an apocalyptic number.

106768590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106768590 is an abundant number, since it is smaller than the sum of its proper divisors (149476098).

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

106768590 is a wasteful number, since it uses less digits than its factorization.

106768590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3558963.

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 106768590 is about 10332.8887538771. Note that the first 3 decimals coincide. The cubic root of 106768590 is about 474.4034468543.

The spelling of 106768590 in words is "one hundred six million, seven hundred sixty-eight thousand, five hundred ninety".