106735544157 has 32 divisors (see below), whose sum is σ = 165980206080. Its totient is φ = 60291889920.

The previous prime is 106735544117. The next prime is 106735544219. The reversal of 106735544157 is 751445537601.

It is not a de Polignac number, because 106735544157 - 2¹⁸ = 106735282013 is a prime.

It is a super-2 number, since 2×106735544157² (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 (106735544117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 865807 + ... + 981372.

It is an arithmetic number, because the mean of its divisors is an integer number (5186881440).

Almost surely, 2^106735544157 is an apocalyptic number.

106735544157 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106735544157 is a deficient number, since it is larger than the sum of its proper divisors (59244661923).

106735544157 is a wasteful number, since it uses less digits than its factorization.

106735544157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847313.

The product of its (nonzero) digits is 1764000, while the sum is 48.

The spelling of 106735544157 in words is "one hundred six billion, seven hundred thirty-five million, five hundred forty-four thousand, one hundred fifty-seven".