106262350101 has 12 divisors (see below), whose sum is σ = 158782822380. Its totient is φ = 68398753920.

The previous prime is 106262350091. The next prime is 106262350147. The reversal of 106262350101 is 101053262601.

106262350101 is a `hidden beast` number, since 1 + 0 + 626 + 2 + 35 + 0 + 1 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37143311076 + 69119039025 = 192726^2 + 262905^2 .

It is not a de Polignac number, because 106262350101 - 2⁶ = 106262350037 is a prime.

It is a super-2 number, since 2×106262350101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106262350171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203567460 + ... + 203567981.

It is an arithmetic number, because the mean of its divisors is an integer number (13231901865).

Almost surely, 2^106262350101 is an apocalyptic number.

It is an amenable number.

106262350101 is a deficient number, since it is larger than the sum of its proper divisors (52520472279).

106262350101 is a wasteful number, since it uses less digits than its factorization.

106262350101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407135476 (or 407135473 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 106262350101 in words is "one hundred six billion, two hundred sixty-two million, three hundred fifty thousand, one hundred one".