106514761635 has 24 divisors (see below), whose sum is σ = 190991988720. Its totient is φ = 54848980032.

The previous prime is 106514761567. The next prime is 106514761649. The reversal of 106514761635 is 536167415601.

106514761635 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 1 + 4 + 7 + 6 + 1 + 635 = 666.

It is not a de Polignac number, because 106514761635 - 2¹¹ = 106514759587 is a prime.

It is a super-2 number, since 2×106514761635² (a number of 23 digits) contains 22 as substring.

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

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, 40808949 + ... + 40811558.

It is an arithmetic number, because the mean of its divisors is an integer number (7957999530).

Almost surely, 2^106514761635 is an apocalyptic number.

106514761635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106514761635 is a deficient number, since it is larger than the sum of its proper divisors (84477227085).

106514761635 is a wasteful number, since it uses less digits than its factorization.

106514761635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81620547 (or 81620544 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 106514761635 in words is "one hundred six billion, five hundred fourteen million, seven hundred sixty-one thousand, six hundred thirty-five".