106255296 has 252 divisors, whose sum is σ = 372386352. Its totient is φ = 28366848.

The previous prime is 106255273. The next prime is 106255309. The reversal of 106255296 is 692552601.

106255296 is a `hidden beast` number, since 1 + 0 + 625 + 5 + 29 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×106255296² = 22580375856095232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106255296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1455516 + ... + 1455588.

Almost surely, 2^106255296 is an apocalyptic number.

106255296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106255296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186193176).

106255296 is an abundant number, since it is smaller than the sum of its proper divisors (266131056).

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

106255296 is a wasteful number, since it uses less digits than its factorization.

106255296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 106255296 is about 10308.0209545771. The cubic root of 106255296 is about 473.6419878467.

The spelling of 106255296 in words is "one hundred six million, two hundred fifty-five thousand, two hundred ninety-six".