35207100010107 has 32 divisors (see below), whose sum is σ = 53961219648000. Its totient is φ = 22660370520480.

The previous prime is 35207100010087. The next prime is 35207100010127. The reversal of 35207100010107 is 70101000170253.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (35207100010087) and next prime (35207100010127).

It is not a de Polignac number, because 35207100010107 - 2¹⁰ = 35207100009083 is a prime.

It is a super-2 number, since 2×35207100010107² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (35207100010127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9012882 + ... + 12314472.

It is an arithmetic number, because the mean of its divisors is an integer number (1686288114000).

Almost surely, 2^{35207100010107} is an apocalyptic number.

35207100010107 is a deficient number, since it is larger than the sum of its proper divisors (18754119637893).

35207100010107 is a wasteful number, since it uses less digits than its factorization.

35207100010107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3315248 (or 3315242 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The spelling of 35207100010107 in words is "thirty-five trillion, two hundred seven billion, one hundred million, ten thousand, one hundred seven".