106075640 has 48 divisors (see below), whose sum is σ = 260898840. Its totient is φ = 38494400.

The previous prime is 106075603. The next prime is 106075661. The reversal of 106075640 is 46570601.

It is a super-2 number, since 2×106075640² = 22504082802819200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215795 + ... + 216285.

Almost surely, 2^106075640 is an apocalyptic number.

106075640 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 106075640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130449420).

106075640 is an abundant number, since it is smaller than the sum of its proper divisors (154823200).

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

106075640 is an equidigital number, since it uses as much as digits as its factorization.

106075640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 106075640 is about 10299.3028890309. The cubic root of 106075640 is about 473.3748933069.

The spelling of 106075640 in words is "one hundred six million, seventy-five thousand, six hundred forty".