106140928 has 72 divisors (see below), whose sum is σ = 232341480. Its totient is φ = 48226304.

The previous prime is 106140919. The next prime is 106140959. The reversal of 106140928 is 829041601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3564544 + 102576384 = 1888^2 + 10128^2 .

It is a super-2 number, since 2×106140928² = 22531793193402368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106140928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3660018 + ... + 3660046.

It is an arithmetic number, because the mean of its divisors is an integer number (3226965).

Almost surely, 2^106140928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106140928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116170740).

106140928 is an abundant number, since it is smaller than the sum of its proper divisors (126200552).

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

106140928 is an frugal number, since it uses more digits than its factorization.

106140928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 106140928 is about 10302.4719363850. The cubic root of 106140928 is about 473.4719918224.

The spelling of 106140928 in words is "one hundred six million, one hundred forty thousand, nine hundred twenty-eight".