106842972 has 12 divisors (see below), whose sum is σ = 249300296. Its totient is φ = 35614320.

The previous prime is 106842959. The next prime is 106842973. The reversal of 106842972 is 279248601.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×106842972² = 22830841331585568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 106842972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106842973) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4451779 + ... + 4451802.

Almost surely, 2^106842972 is an apocalyptic number.

106842972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106842972 is an abundant number, since it is smaller than the sum of its proper divisors (142457324).

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

106842972 is a wasteful number, since it uses less digits than its factorization.

106842972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8903588 (or 8903586 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 106842972 is about 10336.4874111083. The cubic root of 106842972 is about 474.5135881294.

The spelling of 106842972 in words is "one hundred six million, eight hundred forty-two thousand, nine hundred seventy-two".