106299185031 has 192 divisors, whose sum is σ = 193240320000. Its totient is φ = 57178420992.

The previous prime is 106299184997. The next prime is 106299185033. The reversal of 106299185031 is 130581992601.

106299185031 is a `hidden beast` number, since 1 + 0 + 629 + 9 + 18 + 5 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 106299185031 - 2¹⁸ = 106298922887 is a prime.

It is a super-2 number, since 2×106299185031² (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 (106299185033) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 102308610 + ... + 102309648.

It is an arithmetic number, because the mean of its divisors is an integer number (1006460000).

Almost surely, 2^106299185031 is an apocalyptic number.

106299185031 is a deficient number, since it is larger than the sum of its proper divisors (86941134969).

106299185031 is a wasteful number, since it uses less digits than its factorization.

106299185031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 106299185031 in words is "one hundred six billion, two hundred ninety-nine million, one hundred eighty-five thousand, thirty-one".