106181337361 has 16 divisors (see below), whose sum is σ = 122351505408. Its totient is φ = 91242219600.

The previous prime is 106181337349. The next prime is 106181337373. The reversal of 106181337361 is 163733181601.

It is an interprime number because it is at equal distance from previous prime (106181337349) and next prime (106181337373).

It is a cyclic number.

It is not a de Polignac number, because 106181337361 - 2¹⁷ = 106181206289 is a prime.

It is a super-2 number, since 2×106181337361² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106181337461) 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, 3606061 + ... + 3635386.

It is an arithmetic number, because the mean of its divisors is an integer number (7646969088).

Almost surely, 2^106181337361 is an apocalyptic number.

106181337361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106181337361 is a deficient number, since it is larger than the sum of its proper divisors (16170168047).

106181337361 is a wasteful number, since it uses less digits than its factorization.

106181337361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7241532.

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 106181337361 in words is "one hundred six billion, one hundred eighty-one million, three hundred thirty-seven thousand, three hundred sixty-one".