106535292 has 48 divisors (see below), whose sum is σ = 254284800. Its totient is φ = 34706880.

The previous prime is 106535291. The next prime is 106535339. The reversal of 106535292 is 292535601.

It is a super-2 number, since 2×106535292² = 22699536883050528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106535291) 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, 102817 + ... + 103847.

It is an arithmetic number, because the mean of its divisors is an integer number (5297600).

Almost surely, 2^106535292 is an apocalyptic number.

106535292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106535292 is an abundant number, since it is smaller than the sum of its proper divisors (147749508).

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

106535292 is a wasteful number, since it uses less digits than its factorization.

106535292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 106535292 is about 10321.5934816287. The cubic root of 106535292 is about 474.0576582463.

The spelling of 106535292 in words is "one hundred six million, five hundred thirty-five thousand, two hundred ninety-two".