107734032 has 120 divisors (see below), whose sum is σ = 364905216. Its totient is φ = 28965888.

The previous prime is 107734027. The next prime is 107734037. The reversal of 107734032 is 230437701.

It is an interprime number because it is at equal distance from previous prime (107734027) and next prime (107734037).

It is a junction number, because it is equal to n+sod(n) for n = 107733987 and 107734005.

It is not an unprimeable number, because it can be changed into a prime (107734037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13993 + ... + 20279.

Almost surely, 2^107734032 is an apocalyptic number.

107734032 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 107734032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182452608).

107734032 is an abundant number, since it is smaller than the sum of its proper divisors (257171184).

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

107734032 is a wasteful number, since it uses less digits than its factorization.

107734032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6325 (or 6316 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 107734032 is about 10379.5005660195. The cubic root of 107734032 is about 475.8290702798.

The spelling of 107734032 in words is "one hundred seven million, seven hundred thirty-four thousand, thirty-two".