106133880 has 64 divisors (see below), whose sum is σ = 319127040. Its totient is φ = 28237952.

The previous prime is 106133879. The next prime is 106133887. The reversal of 106133880 is 88331601.

It is a super-2 number, since 2×106133880² = 22528800967708800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106133887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76957 + ... + 78323.

It is an arithmetic number, because the mean of its divisors is an integer number (4986360).

Almost surely, 2^106133880 is an apocalyptic number.

106133880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106133880 is an abundant number, since it is smaller than the sum of its proper divisors (212993160).

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

106133880 is a wasteful number, since it uses less digits than its factorization.

106133880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 106133880 is about 10302.1298768750. The cubic root of 106133880 is about 473.4615117166.

The spelling of 106133880 in words is "one hundred six million, one hundred thirty-three thousand, eight hundred eighty".