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106252620 = 22356726431
BaseRepresentation
bin1100101010101…
…00100101001100
321101221012012020
412111110211030
5204200040440
614313210140
72430063255
oct625244514
9241835166
10106252620
1154a82191
122b700950
1319022796
141017bb2c
1594dc3d0
hex655494c

106252620 has 48 divisors (see below), whose sum is σ = 301959168. Its totient is φ = 27910080.

The previous prime is 106252609. The next prime is 106252631. The reversal of 106252620 is 26252601.

It is an interprime number because it is at equal distance from previous prime (106252609) and next prime (106252631).

It is a super-2 number, since 2×1062526202 = 22579238513728800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9196 + ... + 17235.

It is an arithmetic number, because the mean of its divisors is an integer number (6290816).

Almost surely, 2106252620 is an apocalyptic number.

106252620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106252620 is an abundant number, since it is smaller than the sum of its proper divisors (195706548).

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

106252620 is a wasteful number, since it uses less digits than its factorization.

106252620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26510 (or 26508 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 106252620 is about 10307.8911519282. The cubic root of 106252620 is about 473.6380116477.

The spelling of 106252620 in words is "one hundred six million, two hundred fifty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 4020 26431 52862 79293 105724 132155 158586 264310 317172 396465 528620 792930 1585860 1770877 3541754 5312631 7083508 8854385 10625262 17708770 21250524 26563155 35417540 53126310 106252620