105506151601 has 8 divisors (see below), whose sum is σ = 105701028608. Its totient is φ = 105311340000.

The previous prime is 105506151589. The next prime is 105506151629. The reversal of 105506151601 is 106151605501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105506151601 - 2⁷ = 105506151473 is a prime.

It is a super-2 number, since 2×105506151601² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105506161601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4189036 + ... + 4214146.

It is an arithmetic number, because the mean of its divisors is an integer number (13212628576).

Almost surely, 2^105506151601 is an apocalyptic number.

It is an amenable number.

105506151601 is a deficient number, since it is larger than the sum of its proper divisors (194877007).

105506151601 is an equidigital number, since it uses as much as digits as its factorization.

105506151601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32703.

The product of its (nonzero) digits is 4500, while the sum is 31.

The spelling of 105506151601 in words is "one hundred five billion, five hundred six million, one hundred fifty-one thousand, six hundred one".