106853972 has 12 divisors (see below), whose sum is σ = 188360340. Its totient is φ = 53036736.

The previous prime is 106853953. The next prime is 106853977. The reversal of 106853972 is 279358601.

It can be written as a sum of positive squares in 2 ways, for example, as 25060036 + 81793936 = 5006^2 + 9044^2 .

It is a super-2 number, since 2×106853972² = 22835542664353568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106853977) 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, 96947 + ... + 98042.

It is an arithmetic number, because the mean of its divisors is an integer number (15696695).

Almost surely, 2^106853972 is an apocalyptic number.

It is an amenable number.

106853972 is a deficient number, since it is larger than the sum of its proper divisors (81506368).

106853972 is a wasteful number, since it uses less digits than its factorization.

106853972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195130 (or 195128 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 106853972 is about 10337.0194930647. The cubic root of 106853972 is about 474.5298720591.

The spelling of 106853972 in words is "one hundred six million, eight hundred fifty-three thousand, nine hundred seventy-two".