106225031972 has 12 divisors (see below), whose sum is σ = 186030401676. Its totient is φ = 53073488640.

The previous prime is 106225031971. The next prime is 106225032071. The reversal of 106225031972 is 279130522601.

It can be written as a sum of positive squares in 2 ways, for example, as 46545473536 + 59679558436 = 215744^2 + 244294^2 .

It is a super-2 number, since 2×106225031972² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (106225031971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9750713 + ... + 9761600.

It is an arithmetic number, because the mean of its divisors is an integer number (15502533473).

Almost surely, 2^106225031972 is an apocalyptic number.

It is an amenable number.

106225031972 is a deficient number, since it is larger than the sum of its proper divisors (79805369704).

106225031972 is a wasteful number, since it uses less digits than its factorization.

106225031972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19513678 (or 19513676 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The spelling of 106225031972 in words is "one hundred six billion, two hundred twenty-five million, thirty-one thousand, nine hundred seventy-two".