106111392 has 24 divisors (see below), whose sum is σ = 278542656. Its totient is φ = 35370432.

The previous prime is 106111373. The next prime is 106111427. The reversal of 106111392 is 293111601.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×106111392² = 22519255024355328, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 552568 + ... + 552759.

It is an arithmetic number, because the mean of its divisors is an integer number (11605944).

Almost surely, 2^106111392 is an apocalyptic number.

106111392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106111392 is an abundant number, since it is smaller than the sum of its proper divisors (172431264).

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

106111392 is a wasteful number, since it uses less digits than its factorization.

106111392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105340 (or 1105332 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 106111392 is about 10301.0383942591. The cubic root of 106111392 is about 473.4280698206.

Adding to 106111392 its reverse (293111601), we get a palindrome (399222993).

The spelling of 106111392 in words is "one hundred six million, one hundred eleven thousand, three hundred ninety-two".