106257632 has 48 divisors (see below), whose sum is σ = 228438000. Its totient is φ = 48356352.

The previous prime is 106257563. The next prime is 106257659. The reversal of 106257632 is 236752601.

It is a super-2 number, since 2×106257632² = 22581368716494848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28619 + ... + 32117.

It is an arithmetic number, because the mean of its divisors is an integer number (4759125).

Almost surely, 2^106257632 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 106257632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114219000).

106257632 is an abundant number, since it is smaller than the sum of its proper divisors (122180368).

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

106257632 is a wasteful number, since it uses less digits than its factorization.

106257632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3595 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 106257632 is about 10308.1342637744. The cubic root of 106257632 is about 473.6454587939.

The spelling of 106257632 in words is "one hundred six million, two hundred fifty-seven thousand, six hundred thirty-two".