107060832 has 192 divisors, whose sum is σ = 341288640. Its totient is φ = 32514048.

The previous prime is 107060809. The next prime is 107060843. The reversal of 107060832 is 238060701.

It is a super-2 number, since 2×107060832² = 22924043497064448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 107060796 and 107060805.

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, 543358 + ... + 543554.

It is an arithmetic number, because the mean of its divisors is an integer number (1777545).

Almost surely, 2^107060832 is an apocalyptic number.

107060832 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 107060832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170644320).

107060832 is an abundant number, since it is smaller than the sum of its proper divisors (234227808).

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

107060832 is a wasteful number, since it uses less digits than its factorization.

107060832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 107060832 is about 10347.0204406873. The cubic root of 107060832 is about 474.8358908611.

The spelling of 107060832 in words is "one hundred seven million, sixty thousand, eight hundred thirty-two".