106351872 has 72 divisors (see below), whose sum is σ = 308807520. Its totient is φ = 32225280.

The previous prime is 106351849. The next prime is 106351907. The reversal of 106351872 is 278153601.

It is a super-2 number, since 2×106351872² = 22621441355808768, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2154 + ... + 14742.

Almost surely, 2^106351872 is an apocalyptic number.

106351872 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 106351872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154403760).

106351872 is an abundant number, since it is smaller than the sum of its proper divisors (202455648).

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

106351872 is a wasteful number, since it uses less digits than its factorization.

106351872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12619 (or 12605 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 106351872 is about 10312.7043979744. The cubic root of 106351872 is about 473.7854429616.

The spelling of 106351872 in words is "one hundred six million, three hundred fifty-one thousand, eight hundred seventy-two".