106151613577751 has 16 divisors (see below), whose sum is σ = 121837136256000. Its totient is φ = 90596681881728.

The previous prime is 106151613577663. The next prime is 106151613577777. The reversal of 106151613577751 is 157775316151601.

It is a cyclic number.

It is not a de Polignac number, because 106151613577751 - 2²² = 106151609383447 is a prime.

It is a super-2 number, since 2×106151613577751² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106151613577951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10385426 + ... + 17893023.

It is an arithmetic number, because the mean of its divisors is an integer number (7614821016000).

Almost surely, 2^{106151613577751} is an apocalyptic number.

106151613577751 is a deficient number, since it is larger than the sum of its proper divisors (15685522678249).

106151613577751 is a wasteful number, since it uses less digits than its factorization.

106151613577751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28280758.

The product of its (nonzero) digits is 4630500, while the sum is 56.

The spelling of 106151613577751 in words is "one hundred six trillion, one hundred fifty-one billion, six hundred thirteen million, five hundred seventy-seven thousand, seven hundred fifty-one".