106133503 has 16 divisors (see below), whose sum is σ = 124540416. Its totient is φ = 88552800.

The previous prime is 106133471. The next prime is 106133509. The reversal of 106133503 is 305331601.

It is not a de Polignac number, because 106133503 - 2⁵ = 106133471 is a prime.

It is a super-2 number, since 2×106133503² = 22528640918102018, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106133509) 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, 151053 + ... + 151753.

It is an arithmetic number, because the mean of its divisors is an integer number (7783776).

Almost surely, 2^106133503 is an apocalyptic number.

106133503 is a deficient number, since it is larger than the sum of its proper divisors (18406913).

106133503 is an equidigital number, since it uses as much as digits as its factorization.

106133503 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254.

The product of its (nonzero) digits is 810, while the sum is 22.

The square root of 106133503 is about 10302.1115796714. Note that the first 3 decimals coincide. The cubic root of 106133503 is about 473.4609511190.

The spelling of 106133503 in words is "one hundred six million, one hundred thirty-three thousand, five hundred three".