10007263146106 has 64 divisors (see below), whose sum is σ = 15509259216000. Its totient is φ = 4841225625600.

The previous prime is 10007263146079. The next prime is 10007263146113. The reversal of 10007263146106 is 60164136270001.

It is a super-2 number, since 2×10007263146106² (a number of 27 digits) contains 22 as substring.

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, 936040221 + ... + 936050911.

It is an arithmetic number, because the mean of its divisors is an integer number (242332175250).

Almost surely, 2^{10007263146106} is an apocalyptic number.

10007263146106 is a deficient number, since it is larger than the sum of its proper divisors (5501996069894).

10007263146106 is a wasteful number, since it uses less digits than its factorization.

10007263146106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11455.

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 10007263146106 in words is "ten trillion, seven billion, two hundred sixty-three million, one hundred forty-six thousand, one hundred six".