106693632 has 176 divisors, whose sum is σ = 336035520. Its totient is φ = 33325056.

The previous prime is 106693597. The next prime is 106693667. The reversal of 106693632 is 236396601.

106693632 is a `hidden beast` number, since 10 + 6 + 6 + 9 + 3 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (106693597) and next prime (106693667).

It is a super-2 number, since 2×106693632² = 22767062218702848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469903 + ... + 470129.

Almost surely, 2^106693632 is an apocalyptic number.

106693632 is a gapful number since it is divisible by the number (12) 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 106693632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168017760).

106693632 is an abundant number, since it is smaller than the sum of its proper divisors (229341888).

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

106693632 is a wasteful number, since it uses less digits than its factorization.

106693632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 106693632 is about 10329.2609609788. The cubic root of 106693632 is about 474.2924009039.

The spelling of 106693632 in words is "one hundred six million, six hundred ninety-three thousand, six hundred thirty-two".