106627430 has 96 divisors (see below), whose sum is σ = 253380960. Its totient is φ = 31933440.

The previous prime is 106627387. The next prime is 106627439. The reversal of 106627430 is 34726601.

It is a super-2 number, since 2×106627430² = 22738817656809800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106627393 and 106627402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106627439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120590 + ... + 121470.

It is an arithmetic number, because the mean of its divisors is an integer number (2639385).

Almost surely, 2^106627430 is an apocalyptic number.

106627430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106627430 is an abundant number, since it is smaller than the sum of its proper divisors (146753530).

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

106627430 is a wasteful number, since it uses less digits than its factorization.

106627430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 106627430 is about 10326.0558782141. The cubic root of 106627430 is about 474.1942832017.

The spelling of 106627430 in words is "one hundred six million, six hundred twenty-seven thousand, four hundred thirty".