106538787 has 32 divisors (see below), whose sum is σ = 162980160. Its totient is φ = 68739840.

The previous prime is 106538767. The next prime is 106538827. The reversal of 106538787 is 787835601.

106538787 is a `hidden beast` number, since 106 + 538 + 7 + 8 + 7 = 666.

It is not a de Polignac number, because 106538787 - 2⁷ = 106538659 is a prime.

It is a super-2 number, since 2×106538787² = 22701026270862738, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106538767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173493 + ... + 174105.

It is an arithmetic number, because the mean of its divisors is an integer number (5093130).

Almost surely, 2^106538787 is an apocalyptic number.

106538787 is a deficient number, since it is larger than the sum of its proper divisors (56441373).

106538787 is a wasteful number, since it uses less digits than its factorization.

106538787 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 106538787 is about 10321.7627854936. The cubic root of 106538787 is about 474.0628421728.

The spelling of 106538787 in words is "one hundred six million, five hundred thirty-eight thousand, seven hundred eighty-seven".