106275840 has 352 divisors, whose sum is σ = 403242624. Its totient is φ = 23592960.

The previous prime is 106275817. The next prime is 106275859. The reversal of 106275840 is 48572601.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×106275840² = 22589108335411200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2872302 + ... + 2872338.

Almost surely, 2^106275840 is an apocalyptic number.

106275840 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 106275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201621312).

106275840 is an abundant number, since it is smaller than the sum of its proper divisors (296966784).

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

106275840 is a wasteful number, since it uses less digits than its factorization.

106275840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 106275840 is about 10309.0174119554. The cubic root of 106275840 is about 473.6725114200.

The spelling of 106275840 in words is "one hundred six million, two hundred seventy-five thousand, eight hundred forty".