106735937561 has 16 divisors (see below), whose sum is σ = 117834127488. Its totient is φ = 95874192000.

The previous prime is 106735937521. The next prime is 106735937629. The reversal of 106735937561 is 165739537601.

It is a cyclic number.

It is not a de Polignac number, because 106735937561 - 2²⁶ = 106668828697 is a prime.

It is a super-2 number, since 2×106735937561² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106735937521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442421 + ... + 639693.

It is an arithmetic number, because the mean of its divisors is an integer number (7364632968).

Almost surely, 2^106735937561 is an apocalyptic number.

106735937561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106735937561 is a deficient number, since it is larger than the sum of its proper divisors (11098189927).

106735937561 is a wasteful number, since it uses less digits than its factorization.

106735937561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197872.

The product of its (nonzero) digits is 3572100, while the sum is 53.

The spelling of 106735937561 in words is "one hundred six billion, seven hundred thirty-five million, nine hundred thirty-seven thousand, five hundred sixty-one".