10505150040 has 128 divisors (see below), whose sum is σ = 39292024320. Its totient is φ = 2182886400.

The previous prime is 10505150021. The next prime is 10505150063. The reversal of 10505150040 is 4005150501.

It is a super-2 number, since 2×10505150040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10505149989 and 10505150016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 559221 + ... + 577700.

It is an arithmetic number, because the mean of its divisors is an integer number (306968940).

Almost surely, 2^10505150040 is an apocalyptic number.

10505150040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10505150040 is an abundant number, since it is smaller than the sum of its proper divisors (28786874280).

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

10505150040 is a wasteful number, since it uses less digits than its factorization.

10505150040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136953 (or 1136949 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The spelling of 10505150040 in words is "ten billion, five hundred five million, one hundred fifty thousand, forty".