106489158867 has 256 divisors, whose sum is σ = 211805798400. Its totient is φ = 51335285760.

The previous prime is 106489158863. The next prime is 106489158901. The reversal of 106489158867 is 768851984601.

106489158867 is a `hidden beast` number, since 1 + 0 + 6 + 48 + 9 + 1 + 588 + 6 + 7 = 666.

It is not a de Polignac number, because 106489158867 - 2² = 106489158863 is a prime.

It is a super-2 number, since 2×106489158867² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (106489158863) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 155913508 + ... + 155914190.

It is an arithmetic number, because the mean of its divisors is an integer number (827366400).

Almost surely, 2^106489158867 is an apocalyptic number.

106489158867 is a deficient number, since it is larger than the sum of its proper divisors (105316639533).

106489158867 is a wasteful number, since it uses less digits than its factorization.

106489158867 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

It can be divided in two parts, 106489 and 158867, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 106489158867 in words is "one hundred six billion, four hundred eighty-nine million, one hundred fifty-eight thousand, eight hundred sixty-seven".