106217632 has 24 divisors (see below), whose sum is σ = 221418036. Its totient is φ = 49984512.

The previous prime is 106217621. The next prime is 106217651. The reversal of 106217632 is 236712601.

It can be written as a sum of positive squares in 2 ways, for example, as 105760656 + 456976 = 10284^2 + 676^2 .

It is a super-2 number, since 2×106217632² = 22564370695374848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106217632.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 97083 + ... + 98170.

Almost surely, 2^106217632 is an apocalyptic number.

It is an amenable number.

106217632 is an abundant number, since it is smaller than the sum of its proper divisors (115200404).

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

106217632 is a wasteful number, since it uses less digits than its factorization.

106217632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195280 (or 195272 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 106217632 is about 10306.1938658265. The cubic root of 106217632 is about 473.5860177422.

The spelling of 106217632 in words is "one hundred six million, two hundred seventeen thousand, six hundred thirty-two".