106634430 has 96 divisors (see below), whose sum is σ = 318861504. Its totient is φ = 24219648.

The previous prime is 106634413. The next prime is 106634443. The reversal of 106634430 is 34436601.

It is a super-2 number, since 2×106634430² = 22741803322849800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106634394 and 106634403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121152 + ... + 122028.

It is an arithmetic number, because the mean of its divisors is an integer number (3321474).

Almost surely, 2^106634430 is an apocalyptic number.

106634430 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 106634430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159430752).

106634430 is an abundant number, since it is smaller than the sum of its proper divisors (212227074).

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

106634430 is a wasteful number, since it uses less digits than its factorization.

106634430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 106634430 is about 10326.3948210399. The cubic root of 106634430 is about 474.2046597917.

The spelling of 106634430 in words is "one hundred six million, six hundred thirty-four thousand, four hundred thirty".