10100051145 has 24 divisors (see below), whose sum is σ = 17746579656. Its totient is φ = 5312901888.

The previous prime is 10100051099. The next prime is 10100051153. The reversal of 10100051145 is 54115000101.

It is a happy number.

10100051145 is a `hidden beast` number, since 10 + 100 + 0 + 511 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 367834041 + 9732217104 = 19179^2 + 98652^2 .

It is not a de Polignac number, because 10100051145 - 2¹¹ = 10100049097 is a prime.

It is a super-2 number, since 2×10100051145² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1534014 + ... + 1540583.

It is an arithmetic number, because the mean of its divisors is an integer number (739440819).

Almost surely, 2^10100051145 is an apocalyptic number.

10100051145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10100051145 is a deficient number, since it is larger than the sum of its proper divisors (7646528511).

10100051145 is a wasteful number, since it uses less digits than its factorization.

10100051145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074681 (or 3074678 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

Adding to 10100051145 its reverse (54115000101), we get a palindrome (64215051246).

The spelling of 10100051145 in words is "ten billion, one hundred million, fifty-one thousand, one hundred forty-five".