106504950 has 48 divisors (see below), whose sum is σ = 275625216. Its totient is φ = 27165600.

The previous prime is 106504919. The next prime is 106504967. The reversal of 106504950 is 59405601.

It is a super-2 number, since 2×106504950² = 22686608749005000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11986 + ... + 18885.

It is an arithmetic number, because the mean of its divisors is an integer number (5742192).

Almost surely, 2^106504950 is an apocalyptic number.

106504950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106504950 is an abundant number, since it is smaller than the sum of its proper divisors (169120266).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106504950 is a wasteful number, since it uses less digits than its factorization.

106504950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30909 (or 30904 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 106504950 is about 10320.1235457721. The cubic root of 106504950 is about 474.0126489886.

The spelling of 106504950 in words is "one hundred six million, five hundred four thousand, nine hundred fifty".