106452546225 has 96 divisors (see below), whose sum is σ = 186175584000. Its totient is φ = 53563699200.

The previous prime is 106452546223. The next prime is 106452546241. The reversal of 106452546225 is 522645254601.

It is a happy number.

It is not a de Polignac number, because 106452546225 - 2¹ = 106452546223 is a prime.

It is a super-2 number, since 2×106452546225² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106452546223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101479501 + ... + 101480549.

It is an arithmetic number, because the mean of its divisors is an integer number (1939329000).

Almost surely, 2^106452546225 is an apocalyptic number.

106452546225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106452546225 is a deficient number, since it is larger than the sum of its proper divisors (79723037775).

106452546225 is a wasteful number, since it uses less digits than its factorization.

106452546225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 106452546225 in words is "one hundred six billion, four hundred fifty-two million, five hundred forty-six thousand, two hundred twenty-five".