10106505657060 has 48 divisors (see below), whose sum is σ = 28299663139776. Its totient is φ = 2694930337152.

The previous prime is 10106505657047. The next prime is 10106505657067. The reversal of 10106505657060 is 6075650560101.

It is a super-5 number, since 5×10106505657060⁵ (a number of 66 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (10106505657067) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3121822 + ... + 5473461.

It is an arithmetic number, because the mean of its divisors is an integer number (589576315412).

Almost surely, 2^{10106505657060} is an apocalyptic number.

10106505657060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10106505657060 is an abundant number, since it is smaller than the sum of its proper divisors (18193157482716).

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

10106505657060 is a wasteful number, since it uses less digits than its factorization.

10106505657060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8614892 (or 8614890 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 42.

The spelling of 10106505657060 in words is "ten trillion, one hundred six billion, five hundred five million, six hundred fifty-seven thousand, sixty".