106481376 has 72 divisors (see below), whose sum is σ = 303993144. Its totient is φ = 35354880.

The previous prime is 106481363. The next prime is 106481407. The reversal of 106481376 is 673184601.

106481376 is a `hidden beast` number, since 1 + 0 + 648 + 1 + 3 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106481376² = 22676566869706752, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106481376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94770 + ... + 95886.

It is an arithmetic number, because the mean of its divisors is an integer number (4222127).

Almost surely, 2^106481376 is an apocalyptic number.

106481376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

106481376 is the 5958-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106481376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151996572).

106481376 is an abundant number, since it is smaller than the sum of its proper divisors (197511768).

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

106481376 is a wasteful number, since it uses less digits than its factorization.

106481376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 106481376 is about 10318.9813450747. The cubic root of 106481376 is about 473.9776734664.

The spelling of 106481376 in words is "one hundred six million, four hundred eighty-one thousand, three hundred seventy-six".