106011540 has 36 divisors (see below), whose sum is σ = 321568884. Its totient is φ = 28269696.

The previous prime is 106011523. The next prime is 106011551. The reversal of 106011540 is 45110601.

106011540 is a `hidden beast` number, since 10 + 601 + 1 + 54 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25765776 + 80245764 = 5076^2 + 8958^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106011540² = 22476893226343200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294297 + ... + 294656.

It is an arithmetic number, because the mean of its divisors is an integer number (8932469).

Almost surely, 2^106011540 is an apocalyptic number.

106011540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106011540 is an abundant number, since it is smaller than the sum of its proper divisors (215557344).

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

106011540 is a wasteful number, since it uses less digits than its factorization.

106011540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588968 (or 588963 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 106011540 is about 10296.1905576771. The cubic root of 106011540 is about 473.2795228564.

The spelling of 106011540 in words is "one hundred six million, eleven thousand, five hundred forty".