106260672771 has 32 divisors (see below), whose sum is σ = 171930662400. Its totient is φ = 64326817440.

The previous prime is 106260672767. The next prime is 106260672781. The reversal of 106260672771 is 177276062601.

106260672771 is a `hidden beast` number, since 10 + 6 + 2 + 606 + 7 + 27 + 7 + 1 = 666.

It is not a de Polignac number, because 106260672771 - 2² = 106260672767 is a prime.

It is a super-2 number, since 2×106260672771² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106260672781) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56490 + ... + 464448.

It is an arithmetic number, because the mean of its divisors is an integer number (5372833200).

Almost surely, 2^106260672771 is an apocalyptic number.

106260672771 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106260672771 is a deficient number, since it is larger than the sum of its proper divisors (65669989629).

106260672771 is a wasteful number, since it uses less digits than its factorization.

106260672771 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408856 (or 408850 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 106260672771 in words is "one hundred six billion, two hundred sixty million, six hundred seventy-two thousand, seven hundred seventy-one".