106357658742 has 32 divisors (see below), whose sum is σ = 236764344960. Its totient is φ = 35390454120.

The previous prime is 106357658677. The next prime is 106357658749. The reversal of 106357658742 is 247856753601.

106357658742 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 57 + 6 + 587 + 4 + 2 = 666.

It is a super-2 number, since 2×106357658742² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106357658749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1693848 + ... + 1755515.

It is an arithmetic number, because the mean of its divisors is an integer number (7398885780).

Almost surely, 2^106357658742 is an apocalyptic number.

106357658742 is an abundant number, since it is smaller than the sum of its proper divisors (130406686218).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106357658742 is a wasteful number, since it uses less digits than its factorization.

106357658742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449945 (or 3449939 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 106357658742 in words is "one hundred six billion, three hundred fifty-seven million, six hundred fifty-eight thousand, seven hundred forty-two".