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106426251 = 338534621
BaseRepresentation
bin1100101011111…
…10111110001011
321102021000101000
412111332332023
5204221120001
614321030043
72431415421
oct625767613
9242230330
10106426251
1155090688
122b785323
1319083819
14101c5111
159523a86
hex657ef8b

106426251 has 16 divisors (see below), whose sum is σ = 157887520. Its totient is φ = 70852320.

The previous prime is 106426241. The next prime is 106426253. The reversal of 106426251 is 152624601.

106426251 is a `hidden beast` number, since 10 + 642 + 6 + 2 + 5 + 1 = 666.

It is not a de Polignac number, because 106426251 - 25 = 106426219 is a prime.

It is a super-2 number, since 2×1064262512 = 22653093803830002, which contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106426253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20721 + ... + 25341.

It is an arithmetic number, because the mean of its divisors is an integer number (9867970).

Almost surely, 2106426251 is an apocalyptic number.

106426251 is a deficient number, since it is larger than the sum of its proper divisors (51461269).

106426251 is an equidigital number, since it uses as much as digits as its factorization.

106426251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5483 (or 5477 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106426251 is about 10316.3099507527. The cubic root of 106426251 is about 473.8958672065.

The spelling of 106426251 in words is "one hundred six million, four hundred twenty-six thousand, two hundred fifty-one".

Divisors: 1 3 9 27 853 2559 4621 7677 13863 23031 41589 124767 3941713 11825139 35475417 106426251