106634100 has 72 divisors (see below), whose sum is σ = 313639648. Its totient is φ = 27964800.

The previous prime is 106634089. The next prime is 106634123. The reversal of 106634100 is 1436601.

It is a super-2 number, since 2×106634100² = 22741662565620000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15387 + ... + 21213.

Almost surely, 2^106634100 is an apocalyptic number.

106634100 is a gapful number since it is divisible by the number (10) 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 106634100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156819824).

106634100 is an abundant number, since it is smaller than the sum of its proper divisors (207005548).

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

106634100 is a wasteful number, since it uses less digits than its factorization.

106634100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5905 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 106634100 is about 10326.3788425566. The cubic root of 106634100 is about 474.2041706198.

The spelling of 106634100 in words is "one hundred six million, six hundred thirty-four thousand, one hundred".