106516738361 has 8 divisors (see below), whose sum is σ = 116573715648. Its totient is φ = 96522034000.

The previous prime is 106516738309. The next prime is 106516738387. The reversal of 106516738361 is 163837615601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106516738361 - 2³⁰ = 105442996537 is a prime.

It is a super-2 number, since 2×106516738361² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106516738661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15564650 + ... + 15571491.

It is an arithmetic number, because the mean of its divisors is an integer number (14571714456).

Almost surely, 2^106516738361 is an apocalyptic number.

106516738361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106516738361 is a deficient number, since it is larger than the sum of its proper divisors (10056977287).

106516738361 is a wasteful number, since it uses less digits than its factorization.

106516738361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31136463.

The product of its (nonzero) digits is 544320, while the sum is 47.

The spelling of 106516738361 in words is "one hundred six billion, five hundred sixteen million, seven hundred thirty-eight thousand, three hundred sixty-one".