106877232 has 420 divisors, whose sum is σ = 417167496. Its totient is φ = 26127360.

The previous prime is 106877227. The next prime is 106877233. The reversal of 106877232 is 232778601.

It is a super-2 number, since 2×106877232² = 22845485439963648, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106877233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 6286888 + ... + 6286904.

Almost surely, 2^106877232 is an apocalyptic number.

106877232 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 106877232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208583748).

106877232 is an abundant number, since it is smaller than the sum of its proper divisors (310290264).

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

106877232 is a wasteful number, since it uses less digits than its factorization.

106877232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 106877232 is about 10338.1445143701. The cubic root of 106877232 is about 474.5643014891.

The spelling of 106877232 in words is "one hundred six million, eight hundred seventy-seven thousand, two hundred thirty-two".