107029944 has 128 divisors (see below), whose sum is σ = 344908800. Its totient is φ = 30119040.

The previous prime is 107029939. The next prime is 107029969. The reversal of 107029944 is 449920701.

It is a super-2 number, since 2×107029944² = 22910817825286272, 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 = 107029899 and 107029908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106854 + ... + 107850.

It is an arithmetic number, because the mean of its divisors is an integer number (2694600).

Almost surely, 2^107029944 is an apocalyptic number.

107029944 is a gapful number since it is divisible by the number (14) 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 107029944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172454400).

107029944 is an abundant number, since it is smaller than the sum of its proper divisors (237878856).

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

107029944 is a wasteful number, since it uses less digits than its factorization.

107029944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 107029944 is about 10345.5277294104. The cubic root of 107029944 is about 474.7902216795.

The spelling of 107029944 in words is "one hundred seven million, twenty-nine thousand, nine hundred forty-four".