106337733601 has 8 divisors (see below), whose sum is σ = 119746891008. Its totient is φ = 93552258000.

The previous prime is 106337733581. The next prime is 106337733613.

It is a happy number.

106337733601 is nontrivially palindromic in base 10.

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 106337733601 - 2²³ = 106329344993 is a prime.

It is a super-2 number, since 2×106337733601² (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 (106337733661) 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, 155920090 + ... + 155920771.

It is an arithmetic number, because the mean of its divisors is an integer number (14968361376).

Almost surely, 2^106337733601 is an apocalyptic number.

106337733601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106337733601 is a deficient number, since it is larger than the sum of its proper divisors (13409157407).

106337733601 is a wasteful number, since it uses less digits than its factorization.

106337733601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311840903.

The product of its (nonzero) digits is 142884, while the sum is 40.

It can be divided in two parts, 106337 and 733601, that added together give a palindrome (839938).

The spelling of 106337733601 in words is "one hundred six billion, three hundred thirty-seven million, seven hundred thirty-three thousand, six hundred one".