106776540 has 72 divisors (see below), whose sum is σ = 348811008. Its totient is φ = 26282880.

The previous prime is 106776497. The next prime is 106776569. The reversal of 106776540 is 45677601.

106776540 is a `hidden beast` number, since 106 + 7 + 7 + 6 + 540 = 666.

It is a super-2 number, since 2×106776540² = 22802458988743200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106776495 and 106776504.

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, 20476 + ... + 25155.

Almost surely, 2^106776540 is an apocalyptic number.

106776540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106776540 is an abundant number, since it is smaller than the sum of its proper divisors (242034468).

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

106776540 is a wasteful number, since it uses less digits than its factorization.

106776540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45659 (or 45654 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 106776540 is about 10333.2734406866. The cubic root of 106776540 is about 474.4152212716.

The spelling of 106776540 in words is "one hundred six million, seven hundred seventy-six thousand, five hundred forty".