106315540 has 48 divisors (see below), whose sum is σ = 227203200. Its totient is φ = 41784192.

The previous prime is 106315519. The next prime is 106315543. The reversal of 106315540 is 45513601.

It is a super-2 number, since 2×106315540² = 22605988090983200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106315543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 464146 + ... + 464374.

It is an arithmetic number, because the mean of its divisors is an integer number (4733400).

Almost surely, 2^106315540 is an apocalyptic number.

106315540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106315540 is an abundant number, since it is smaller than the sum of its proper divisors (120887660).

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

106315540 is a wasteful number, since it uses less digits than its factorization.

106315540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 106315540 is about 10310.9427309049. The cubic root of 106315540 is about 473.7314851799.

The spelling of 106315540 in words is "one hundred six million, three hundred fifteen thousand, five hundred forty".