106020540 has 72 divisors (see below), whose sum is σ = 330308160. Its totient is φ = 27506304.

The previous prime is 106020529. The next prime is 106020553. The reversal of 106020540 is 45020601.

It is a happy number.

106020540 is a `hidden beast` number, since 10 + 602 + 0 + 54 + 0 = 666.

It is a super-2 number, since 2×106020540² = 22480709803783200, 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1300 + ... + 14619.

Almost surely, 2^106020540 is an apocalyptic number.

106020540 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 106020540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165154080).

106020540 is an abundant number, since it is smaller than the sum of its proper divisors (224287620).

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

106020540 is a wasteful number, since it uses less digits than its factorization.

106020540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15971 (or 15966 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 106020540 is about 10296.6276032495. The cubic root of 106020540 is about 473.2929157228.

The spelling of 106020540 in words is "one hundred six million, twenty thousand, five hundred forty".