106432920 has 384 divisors, whose sum is σ = 424396800. Its totient is φ = 23500800.

The previous prime is 106432919. The next prime is 106432943. The reversal of 106432920 is 29234601.

106432920 is a `hidden beast` number, since 10 + 643 + 2 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×106432920² = 22655932919452800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3433305 + ... + 3433335.

It is an arithmetic number, because the mean of its divisors is an integer number (1105200).

Almost surely, 2^106432920 is an apocalyptic number.

106432920 is a gapful number since it is divisible by the number (10) 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 106432920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212198400).

106432920 is an abundant number, since it is smaller than the sum of its proper divisors (317963880).

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

106432920 is a wasteful number, since it uses less digits than its factorization.

106432920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 106432920 is about 10316.6331717281. The cubic root of 106432920 is about 473.9057655962.

The spelling of 106432920 in words is "one hundred six million, four hundred thirty-two thousand, nine hundred twenty".