10106430662880 has 144 divisors (see below), whose sum is σ = 34489115388000. Its totient is φ = 2694976226304.

The previous prime is 10106430662879. The next prime is 10106430662917. The reversal of 10106430662880 is 8826603460101.

10106430662880 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 64 + 306 + 6 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×10106430662880³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74450749 + ... + 74586371.

It is an arithmetic number, because the mean of its divisors is an integer number (239507745750).

Almost surely, 2^{10106430662880} is an apocalyptic number.

10106430662880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10106430662880 is an abundant number, since it is smaller than the sum of its proper divisors (24382684725120).

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

10106430662880 is a wasteful number, since it uses less digits than its factorization.

10106430662880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187393 (or 187382 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 10106430662880 in words is "ten trillion, one hundred six billion, four hundred thirty million, six hundred sixty-two thousand, eight hundred eighty".