106140192 has 24 divisors (see below), whose sum is σ = 278618256. Its totient is φ = 35380032.

The previous prime is 106140191. The next prime is 106140247. The reversal of 106140192 is 291041601.

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

It is a super-2 number, since 2×106140192² = 22531480715593728, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106140191) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 552718 + ... + 552909.

It is an arithmetic number, because the mean of its divisors is an integer number (11609094).

Almost surely, 2^106140192 is an apocalyptic number.

106140192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106140192 is an abundant number, since it is smaller than the sum of its proper divisors (172478064).

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

106140192 is a wasteful number, since it uses less digits than its factorization.

106140192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105640 (or 1105632 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 106140192 is about 10302.4362167402. The cubic root of 106140192 is about 473.4708974403.

Adding to 106140192 its reverse (291041601), we get a palindrome (397181793).

The spelling of 106140192 in words is "one hundred six million, one hundred forty thousand, one hundred ninety-two".