106251075 has 96 divisors (see below), whose sum is σ = 226176000. Its totient is φ = 47900160.

The previous prime is 106251073. The next prime is 106251113. The reversal of 106251075 is 570152601.

It is not a de Polignac number, because 106251075 - 2¹ = 106251073 is a prime.

It is a super-2 number, since 2×106251075² = 22578581877311250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106251073) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 533826 + ... + 534024.

It is an arithmetic number, because the mean of its divisors is an integer number (2356000).

Almost surely, 2^106251075 is an apocalyptic number.

106251075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106251075 is an abundant number, since it is smaller than the sum of its proper divisors (119924925).

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

106251075 is a wasteful number, since it uses less digits than its factorization.

106251075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 106251075 is about 10307.8162090716. The cubic root of 106251075 is about 473.6357159418.

The spelling of 106251075 in words is "one hundred six million, two hundred fifty-one thousand, seventy-five".