106251628 has 24 divisors (see below), whose sum is σ = 221743872. Its totient is φ = 43556304.

The previous prime is 106251619. The next prime is 106251637. The reversal of 106251628 is 826152601.

It is an interprime number because it is at equal distance from previous prime (106251619) and next prime (106251637).

It is a super-2 number, since 2×106251628² = 22578816905300768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106251628.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81850 + ... + 83137.

It is an arithmetic number, because the mean of its divisors is an integer number (9239328).

Almost surely, 2^106251628 is an apocalyptic number.

It is an amenable number.

106251628 is an abundant number, since it is smaller than the sum of its proper divisors (115492244).

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

106251628 is a wasteful number, since it uses less digits than its factorization.

106251628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165021 (or 165019 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 106251628 is about 10307.8430333412. The cubic root of 106251628 is about 473.6365376436.

The spelling of 106251628 in words is "one hundred six million, two hundred fifty-one thousand, six hundred twenty-eight".