106629504 has 64 divisors (see below), whose sum is σ = 287297280. Its totient is φ = 35033600.

The previous prime is 106629493. The next prime is 106629517. The reversal of 106629504 is 405926601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106629504² = 22739702246572032, 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 7 ways as a sum of consecutive naturals, for example, 25309 + ... + 29219.

It is an arithmetic number, because the mean of its divisors is an integer number (4489020).

Almost surely, 2^106629504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106629504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143648640).

106629504 is an abundant number, since it is smaller than the sum of its proper divisors (180667776).

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

106629504 is an equidigital number, since it uses as much as digits as its factorization.

106629504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3999 (or 3987 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 106629504 is about 10326.1563032912. The cubic root of 106629504 is about 474.1973576844.

The spelling of 106629504 in words is "one hundred six million, six hundred twenty-nine thousand, five hundred four".