107077824 has 84 divisors (see below), whose sum is σ = 350778064. Its totient is φ = 30592512.

The previous prime is 107077823. The next prime is 107077879. The reversal of 107077824 is 428770701.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×107077824² = 22931320785149952, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (107077823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9247 + ... + 17310.

Almost surely, 2^107077824 is an apocalyptic number.

107077824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

107077824 is an abundant number, since it is smaller than the sum of its proper divisors (243700240).

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

107077824 is a wasteful number, since it uses less digits than its factorization.

107077824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26582 (or 26569 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 107077824 is about 10347.8415140550. The cubic root of 107077824 is about 474.8610104885.

The spelling of 107077824 in words is "one hundred seven million, seventy-seven thousand, eight hundred twenty-four".