106132428 has 144 divisors (see below), whose sum is σ = 301260960. Its totient is φ = 31352832.

The previous prime is 106132417. The next prime is 106132463. The reversal of 106132428 is 824231601.

106132428 is a `hidden beast` number, since 1 + 0 + 613 + 2 + 42 + 8 = 666.

It is a super-2 number, since 2×106132428² = 22528184546350368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 973638 + ... + 973746.

It is an arithmetic number, because the mean of its divisors is an integer number (2092090).

Almost surely, 2^106132428 is an apocalyptic number.

106132428 is a gapful number since it is divisible by the number (18) 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 106132428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150630480).

106132428 is an abundant number, since it is smaller than the sum of its proper divisors (195128532).

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

106132428 is a wasteful number, since it uses less digits than its factorization.

106132428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 106132428 is about 10302.0594057693. The cubic root of 106132428 is about 473.4593525906.

It can be divided in two parts, 10613 and 2428, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 106132428 in words is "one hundred six million, one hundred thirty-two thousand, four hundred twenty-eight".