106093260 has 384 divisors, whose sum is σ = 433520640. Its totient is φ = 20901888.

The previous prime is 106093237. The next prime is 106093271. The reversal of 106093260 is 62390601.

It is a happy number.

It is a super-2 number, since 2×106093260² = 22511559634855200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 835317 + ... + 835443.

It is an arithmetic number, because the mean of its divisors is an integer number (1128960).

Almost surely, 2^106093260 is an apocalyptic number.

106093260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106093260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216760320).

106093260 is an abundant number, since it is smaller than the sum of its proper divisors (327427380).

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

106093260 is a wasteful number, since it uses less digits than its factorization.

106093260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 106093260 is about 10300.1582512115. The cubic root of 106093260 is about 473.4011022896.

The spelling of 106093260 in words is "one hundred six million, ninety-three thousand, two hundred sixty".