106921462329225 has 36 divisors (see below), whose sum is σ = 197685903697152. Its totient is φ = 55185270876000.

The previous prime is 106921462329221. The next prime is 106921462329299. The reversal of 106921462329225 is 522923264129601.

106921462329225 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 2 + 1 + 4 + 623 + 2 + 9 + 2 + 2 + 5 = 666.

It is not a de Polignac number, because 106921462329225 - 2² = 106921462329221 is a prime.

It is a super-2 number, since 2×106921462329225² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106921462329221) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7664613981 + ... + 7664627930.

Almost surely, 2^{106921462329225} is an apocalyptic number.

106921462329225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106921462329225 is a deficient number, since it is larger than the sum of its proper divisors (90764441367927).

106921462329225 is a wasteful number, since it uses less digits than its factorization.

106921462329225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15329241958 (or 15329241950 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 106921462329225 in words is "one hundred six trillion, nine hundred twenty-one billion, four hundred sixty-two million, three hundred twenty-nine thousand, two hundred twenty-five".