106538753 has 6 divisors (see below), whose sum is σ = 107090802. Its totient is φ = 105989520.

The previous prime is 106538749. The next prime is 106538759. The reversal of 106538753 is 357835601.

It can be written as a sum of positive squares in only one way, i.e., 60949249 + 45589504 = 7807^2 + 6752^2 .

It is not a de Polignac number, because 106538753 - 2² = 106538749 is a prime.

It is a super-2 number, since 2×106538753² = 22701011781590018, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106538759) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43325 + ... + 45717.

It is an arithmetic number, because the mean of its divisors is an integer number (17848467).

Almost surely, 2^106538753 is an apocalyptic number.

It is an amenable number.

106538753 is a deficient number, since it is larger than the sum of its proper divisors (552049).

106538753 is an frugal number, since it uses more digits than its factorization.

106538753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2815 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 106538753 is about 10321.7611384879. The cubic root of 106538753 is about 474.0627917432.

The spelling of 106538753 in words is "one hundred six million, five hundred thirty-eight thousand, seven hundred fifty-three".