106632830 has 32 divisors (see below), whose sum is σ = 201628224. Its totient is φ = 40525056.

The previous prime is 106632829. The next prime is 106632833. The reversal of 106632830 is 38236601.

It is a super-2 number, since 2×106632830² = 22741120867617800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106632793 and 106632802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106632833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34634 + ... + 37586.

It is an arithmetic number, because the mean of its divisors is an integer number (6300882).

Almost surely, 2^106632830 is an apocalyptic number.

106632830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106632830 is a deficient number, since it is larger than the sum of its proper divisors (94995394).

106632830 is a wasteful number, since it uses less digits than its factorization.

106632830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3140.

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 106632830 is about 10326.3173493748. The cubic root of 106632830 is about 474.2022880397.

The spelling of 106632830 in words is "one hundred six million, six hundred thirty-two thousand, eight hundred thirty".