106376820 has 192 divisors, whose sum is σ = 362880000. Its totient is φ = 22947840.

The previous prime is 106376819. The next prime is 106376827. The reversal of 106376820 is 28673601.

106376820 = T₂₅ + T₂₆ + ... + T₈₆₀.

It is a super-2 number, since 2×106376820² = 22632055666624800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106376827) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212931 + ... + 213429.

It is an arithmetic number, because the mean of its divisors is an integer number (1890000).

Almost surely, 2^106376820 is an apocalyptic number.

106376820 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 106376820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440000).

106376820 is an abundant number, since it is smaller than the sum of its proper divisors (256503180).

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

106376820 is a wasteful number, since it uses less digits than its factorization.

106376820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 106376820 is about 10313.9139030729. The cubic root of 106376820 is about 473.8224868953.

The spelling of 106376820 in words is "one hundred six million, three hundred seventy-six thousand, eight hundred twenty".