100193241465 has 128 divisors (see below), whose sum is σ = 189490544640. Its totient is φ = 50160902400.

The previous prime is 100193241439. The next prime is 100193241487. The reversal of 100193241465 is 564142391001.

It is a happy number.

100193241465 is a `hidden beast` number, since 1 + 0 + 0 + 193 + 2 + 4 + 1 + 465 = 666.

It is not a de Polignac number, because 100193241465 - 2¹² = 100193237369 is a prime.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 16665310 + ... + 16671320.

It is an arithmetic number, because the mean of its divisors is an integer number (1480394880).

Almost surely, 2^100193241465 is an apocalyptic number.

100193241465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100193241465 is a deficient number, since it is larger than the sum of its proper divisors (89297303175).

100193241465 is a wasteful number, since it uses less digits than its factorization.

100193241465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6180 (or 6174 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 100193241465 in words is "one hundred billion, one hundred ninety-three million, two hundred forty-one thousand, four hundred sixty-five".