106250364 has 72 divisors (see below), whose sum is σ = 297198720. Its totient is φ = 31735200.

The previous prime is 106250341. The next prime is 106250383. The reversal of 106250364 is 463052601.

106250364 is a `hidden beast` number, since 1 + 0 + 625 + 0 + 36 + 4 = 666.

It is a super-2 number, since 2×106250364² = 22578279700264992, which contains 22 as substring.

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, 26227 + ... + 30005.

It is an arithmetic number, because the mean of its divisors is an integer number (4127760).

Almost surely, 2^106250364 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 106250364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

106250364 is an abundant number, since it is smaller than the sum of its proper divisors (190948356).

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

106250364 is a wasteful number, since it uses less digits than its factorization.

106250364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3871 (or 3866 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 106250364 is about 10307.7817206225. The cubic root of 106250364 is about 473.6346594639.

The spelling of 106250364 in words is "one hundred six million, two hundred fifty thousand, three hundred sixty-four".