106654632 has 64 divisors (see below), whose sum is σ = 314572800. Its totient is φ = 29488320.

The previous prime is 106654627. The next prime is 106654633. The reversal of 106654632 is 236456601.

It is a super-2 number, since 2×106654632² = 22750421054110848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106654593 and 106654602.

It is not an unprimeable number, because it can be changed into a prime (106654633) 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, 5032 + ... + 15447.

It is an arithmetic number, because the mean of its divisors is an integer number (4915200).

Almost surely, 2^106654632 is an apocalyptic number.

106654632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106654632 is an abundant number, since it is smaller than the sum of its proper divisors (207918168).

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

106654632 is a wasteful number, since it uses less digits than its factorization.

106654632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20526 (or 20522 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 106654632 is about 10327.3729476571. The cubic root of 106654632 is about 474.2346040840.

The spelling of 106654632 in words is "one hundred six million, six hundred fifty-four thousand, six hundred thirty-two".