10116540 has 216 divisors, whose sum is σ = 37844352. Its totient is φ = 2177280.

The previous prime is 10116539. The next prime is 10116593. The reversal of 10116540 is 4561101.

10116540 is a `hidden beast` number, since 1 + 0 + 11 + 654 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 273402 + ... + 273438.

Almost surely, 2^10116540 is an apocalyptic number.

10116540 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 10116540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18922176).

10116540 is an abundant number, since it is smaller than the sum of its proper divisors (27727812).

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

10116540 is a wasteful number, since it uses less digits than its factorization.

10116540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 85 counting only the distinct ones).

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

The square root of 10116540 is about 3180.6508767861. The cubic root of 10116540 is about 216.2771647744.

Adding to 10116540 its reverse (4561101), we get a palindrome (14677641).

It can be divided in two parts, 101 and 16540, that added together give a square (16641 = 129²).

The spelling of 10116540 in words is "ten million, one hundred sixteen thousand, five hundred forty".