10107968450490 has 32 divisors (see below), whose sum is σ = 26954582535360. Its totient is φ = 2695458253392.

The previous prime is 10107968450479. The next prime is 10107968450509. The reversal of 10107968450490 is 9405486970101.

10107968450490 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 79 + 6 + 84 + 5 + 0 + 490 = 666.

It is a super-2 number, since 2×10107968450490² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18718459824 + ... + 18718460363.

It is an arithmetic number, because the mean of its divisors is an integer number (842330704230).

Almost surely, 2^{10107968450490} is an apocalyptic number.

10107968450490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10107968450490 is an abundant number, since it is smaller than the sum of its proper divisors (16846614084870).

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

10107968450490 is a wasteful number, since it uses less digits than its factorization.

10107968450490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37436920203 (or 37436920197 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 10107968450490 in words is "ten trillion, one hundred seven billion, nine hundred sixty-eight million, four hundred fifty thousand, four hundred ninety".