107501430 has 64 divisors (see below), whose sum is σ = 273600000. Its totient is φ = 26956800.

The previous prime is 107501399. The next prime is 107501441. The reversal of 107501430 is 34105701.

It is a junction number, because it is equal to n+sod(n) for n = 107501397 and 107501406.

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, 85446 + ... + 86694.

It is an arithmetic number, because the mean of its divisors is an integer number (4275000).

Almost surely, 2^107501430 is an apocalyptic number.

107501430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107501430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136800000).

107501430 is an abundant number, since it is smaller than the sum of its proper divisors (166098570).

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

107501430 is a wasteful number, since it uses less digits than its factorization.

107501430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 107501430 is about 10368.2896371581. The cubic root of 107501430 is about 475.4863789924.

The spelling of 107501430 in words is "one hundred seven million, five hundred one thousand, four hundred thirty".