100075606001451 has 48 divisors (see below), whose sum is σ = 148723382901600. Its totient is φ = 64823217744384.

The previous prime is 100075606001431. The next prime is 100075606001507. The reversal of 100075606001451 is 154100606570001.

It is a happy number.

100075606001451 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 7 + 5 + 6 + 0 + 600 + 1 + 45 + 1 = 666.

It is not a de Polignac number, because 100075606001451 - 2⁶ = 100075606001387 is a prime.

It is a super-2 number, since 2×100075606001451² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100075606001431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13655425 + ... + 19662701.

It is an arithmetic number, because the mean of its divisors is an integer number (3098403810450).

Almost surely, 2^{100075606001451} is an apocalyptic number.

100075606001451 is a deficient number, since it is larger than the sum of its proper divisors (48647776900149).

100075606001451 is a wasteful number, since it uses less digits than its factorization.

100075606001451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6007708 (or 6007705 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 100075606001451 in words is "one hundred trillion, seventy-five billion, six hundred six million, one thousand, four hundred fifty-one".