105415157645723 has 16 divisors (see below), whose sum is σ = 111791585752704. Its totient is φ = 99058261585920.

The previous prime is 105415157645659. The next prime is 105415157645737. The reversal of 105415157645723 is 327546751514501.

It is a cyclic number.

It is not a de Polignac number, because 105415157645723 - 2⁶ = 105415157645659 is a prime.

It is a super-2 number, since 2×105415157645723² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105415157645773) 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, 121644203 + ... + 122507723.

It is an arithmetic number, because the mean of its divisors is an integer number (6986974109544).

Almost surely, 2^{105415157645723} is an apocalyptic number.

105415157645723 is a deficient number, since it is larger than the sum of its proper divisors (6376428106981).

105415157645723 is a wasteful number, since it uses less digits than its factorization.

105415157645723 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874822.

The product of its (nonzero) digits is 17640000, while the sum is 56.

The spelling of 105415157645723 in words is "one hundred five trillion, four hundred fifteen billion, one hundred fifty-seven million, six hundred forty-five thousand, seven hundred twenty-three".