106250976 has 216 divisors, whose sum is σ = 341719560. Its totient is φ = 31269888.

The previous prime is 106250957. The next prime is 106251001. The reversal of 106250976 is 679052601.

It is a super-2 number, since 2×106250976² = 22578539801905152, 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 106250976.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1800835 + ... + 1800893.

It is an arithmetic number, because the mean of its divisors is an integer number (1582035).

Almost surely, 2^106250976 is an apocalyptic number.

106250976 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 106250976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170859780).

106250976 is an abundant number, since it is smaller than the sum of its proper divisors (235468584).

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

106250976 is a wasteful number, since it uses less digits than its factorization.

106250976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 106250976 is about 10307.8114068894. The cubic root of 106250976 is about 473.6355688376.

The spelling of 106250976 in words is "one hundred six million, two hundred fifty thousand, nine hundred seventy-six".