10045151120 has 40 divisors (see below), whose sum is σ = 23378220216. Its totient is φ = 4014061568.

The previous prime is 10045151107. The next prime is 10045151147. The reversal of 10045151120 is 2115154001.

It can be written as a sum of positive squares in 4 ways, for example, as 1018631056 + 9026520064 = 31916^2 + 95008^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10045151120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10045151092 and 10045151101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19064 + ... + 143016.

Almost surely, 2^10045151120 is an apocalyptic number.

10045151120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10045151120 is an abundant number, since it is smaller than the sum of its proper divisors (13333069096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10045151120 is a wasteful number, since it uses less digits than its factorization.

10045151120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124979 (or 124973 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

The spelling of 10045151120 in words is "ten billion, forty-five million, one hundred fifty-one thousand, one hundred twenty".