106189632 has 168 divisors, whose sum is σ = 331784960. Its totient is φ = 32348160.

The previous prime is 106189627. The next prime is 106189639. The reversal of 106189632 is 236981601.

106189632 is a `hidden beast` number, since 1 + 0 + 6 + 18 + 9 + 632 = 666.

It is a super-2 number, since 2×106189632² = 22552475888590848, 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 not an unprimeable number, because it can be changed into a prime (106189639) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339108 + ... + 339420.

Almost surely, 2^106189632 is an apocalyptic number.

106189632 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 106189632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165892480).

106189632 is an abundant number, since it is smaller than the sum of its proper divisors (225595328).

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

106189632 is a wasteful number, since it uses less digits than its factorization.

106189632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 106189632 is about 10304.8353698640. The cubic root of 106189632 is about 473.5444001262.

The spelling of 106189632 in words is "one hundred six million, one hundred eighty-nine thousand, six hundred thirty-two".