10100472159375 has 144 divisors (see below), whose sum is σ = 19812423548736. Its totient is φ = 4928515200000.

The previous prime is 10100472159353. The next prime is 10100472159403. The reversal of 10100472159375 is 57395127400101.

10100472159375 is a `hidden beast` number, since 1 + 0 + 10 + 0 + 47 + 2 + 1 + 593 + 7 + 5 = 666.

It is a Cunningham number, because it is equal to 3178124²-1.

It is not a de Polignac number, because 10100472159375 - 2⁹ = 10100472158863 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10100472159375.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 41193390 + ... + 41437860.

It is an arithmetic number, because the mean of its divisors is an integer number (137586274644).

Almost surely, 2^{10100472159375} is an apocalyptic number.

10100472159375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10100472159375 is a deficient number, since it is larger than the sum of its proper divisors (9711951389361).

10100472159375 is a wasteful number, since it uses less digits than its factorization.

10100472159375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244628 (or 244605 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

Adding to 10100472159375 its reverse (57395127400101), we get a palindrome (67495599559476).

The spelling of 10100472159375 in words is "ten trillion, one hundred billion, four hundred seventy-two million, one hundred fifty-nine thousand, three hundred seventy-five".