106781472 has 72 divisors (see below), whose sum is σ = 347046336. Its totient is φ = 30508416.

The previous prime is 106781443. The next prime is 106781489. The reversal of 106781472 is 274187601.

106781472 is a `hidden beast` number, since 106 + 7 + 81 + 472 = 666.

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

It is a super-2 number, since 2×106781472² = 22804565524973568, which contains 22 as substring.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 24468 + ... + 28499.

It is an arithmetic number, because the mean of its divisors is an integer number (4820088).

Almost surely, 2^106781472 is an apocalyptic number.

106781472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106781472 is an abundant number, since it is smaller than the sum of its proper divisors (240264864).

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

106781472 is a wasteful number, since it uses less digits than its factorization.

106781472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52990 (or 52979 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 106781472 is about 10333.5120844754. The cubic root of 106781472 is about 474.4225255597.

The spelling of 106781472 in words is "one hundred six million, seven hundred eighty-one thousand, four hundred seventy-two".