107772440 has 32 divisors (see below), whose sum is σ = 243162000. Its totient is φ = 42989184.

The previous prime is 107772437. The next prime is 107772443. The reversal of 107772440 is 44277701.

It is an interprime number because it is at equal distance from previous prime (107772437) and next prime (107772443).

It is a super-2 number, since 2×107772440² = 23229797647107200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107772397 and 107772406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107772443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11606 + ... + 18714.

Almost surely, 2^107772440 is an apocalyptic number.

107772440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107772440 is an abundant number, since it is smaller than the sum of its proper divisors (135389560).

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

107772440 is a wasteful number, since it uses less digits than its factorization.

107772440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7499 (or 7495 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 32.

The square root of 107772440 is about 10381.3505865085. The cubic root of 107772440 is about 475.8856091197.

The spelling of 107772440 in words is "one hundred seven million, seven hundred seventy-two thousand, four hundred forty".