106498952 has 96 divisors (see below), whose sum is σ = 248976000. Its totient is φ = 42456960.

The previous prime is 106498949. The next prime is 106498961. The reversal of 106498952 is 259894601.

It is a super-2 number, since 2×106498952² = 22684053554196608, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 588302 + ... + 588482.

It is an arithmetic number, because the mean of its divisors is an integer number (2593500).

Almost surely, 2^106498952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106498952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124488000).

106498952 is an abundant number, since it is smaller than the sum of its proper divisors (142477048).

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

106498952 is a wasteful number, since it uses less digits than its factorization.

106498952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The square root of 106498952 is about 10319.8329443843. The cubic root of 106498952 is about 474.0037505564.

The spelling of 106498952 in words is "one hundred six million, four hundred ninety-eight thousand, nine hundred fifty-two".