106401132 has 36 divisors (see below), whose sum is σ = 269328696. Its totient is φ = 35418240.

The previous prime is 106401107. The next prime is 106401149. The reversal of 106401132 is 231104601.

It is a happy number.

106401132 is a `hidden beast` number, since 10 + 640 + 1 + 13 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106401132² = 22642401781762848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32532 + ... + 35652.

Almost surely, 2^106401132 is an apocalyptic number.

106401132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106401132 is an abundant number, since it is smaller than the sum of its proper divisors (162927564).

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

106401132 is a wasteful number, since it uses less digits than its factorization.

106401132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078 (or 4073 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106401132 is about 10315.0924377826. The cubic root of 106401132 is about 473.8585808954.

Adding to 106401132 its reverse (231104601), we get a palindrome (337505733).

The spelling of 106401132 in words is "one hundred six million, four hundred one thousand, one hundred thirty-two".