107077632 has 56 divisors (see below), whose sum is σ = 285588456. Its totient is φ = 35684352.

The previous prime is 107077603. The next prime is 107077639. The reversal of 107077632 is 236770701.

It is a super-2 number, since 2×107077632² = 22931238549454848, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 107077593 and 107077602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107077639) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22398 + ... + 26754.

Almost surely, 2^107077632 is an apocalyptic number.

107077632 is a gapful number since it is divisible by the number (12) 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 107077632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142794228).

107077632 is an abundant number, since it is smaller than the sum of its proper divisors (178510824).

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

107077632 is an frugal number, since it uses more digits than its factorization.

107077632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4386 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 33.

The square root of 107077632 is about 10347.8322367537. The cubic root of 107077632 is about 474.8607266658.

The spelling of 107077632 in words is "one hundred seven million, seventy-seven thousand, six hundred thirty-two".