106629460 has 96 divisors (see below), whose sum is σ = 268369920. Its totient is φ = 34819200.

The previous prime is 106629451. The next prime is 106629487. The reversal of 106629460 is 64926601.

It is a super-2 number, since 2×106629460² = 22739683479783200, 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 31 ways as a sum of consecutive naturals, for example, 342705 + ... + 343015.

It is an arithmetic number, because the mean of its divisors is an integer number (2795520).

Almost surely, 2^106629460 is an apocalyptic number.

106629460 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 106629460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134184960).

106629460 is an abundant number, since it is smaller than the sum of its proper divisors (161740460).

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

106629460 is a wasteful number, since it uses less digits than its factorization.

106629460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 106629460 is about 10326.1541727789. The cubic root of 106629460 is about 474.1972924596.

The spelling of 106629460 in words is "one hundred six million, six hundred twenty-nine thousand, four hundred sixty".