106353632 has 96 divisors (see below), whose sum is σ = 276514560. Its totient is φ = 38983680.

The previous prime is 106353623. The next prime is 106353641. The reversal of 106353632 is 236353601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106353623) and next prime (106353641).

It is a super-2 number, since 2×106353632² = 22622190079182848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106353595 and 106353604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40619 + ... + 43157.

It is an arithmetic number, because the mean of its divisors is an integer number (2880360).

Almost surely, 2^106353632 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 106353632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138257280).

106353632 is an abundant number, since it is smaller than the sum of its proper divisors (170160928).

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

106353632 is a wasteful number, since it uses less digits than its factorization.

106353632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 29.

The square root of 106353632 is about 10312.7897292634. The cubic root of 106353632 is about 473.7880564801.

The spelling of 106353632 in words is "one hundred six million, three hundred fifty-three thousand, six hundred thirty-two".