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106356426 = 23113797449
BaseRepresentation
bin1100101011011…
…01111011001010
321102010110120220
412111231323022
5204211401201
614315330510
72431005021
oct625557312
9242113526
10106356426
1155043180
122b750a36
131905aac7
14101a78b8
15950d036
hex656deca

106356426 has 64 divisors (see below), whose sum is σ = 241315200. Its totient is φ = 30965760.

The previous prime is 106356407. The next prime is 106356457. The reversal of 106356426 is 624653601.

It is a super-2 number, since 2×1063564262 = 22623378702986952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236650 + ... + 237098.

It is an arithmetic number, because the mean of its divisors is an integer number (3770550).

Almost surely, 2106356426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106356426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120657600).

106356426 is an abundant number, since it is smaller than the sum of its proper divisors (134958774).

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

106356426 is a wasteful number, since it uses less digits than its factorization.

106356426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599.

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 106356426 is about 10312.9251912345. The cubic root of 106356426 is about 473.7922053817.

The spelling of 106356426 in words is "one hundred six million, three hundred fifty-six thousand, four hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 37 66 74 97 111 194 222 291 407 449 582 814 898 1067 1221 1347 2134 2442 2694 3201 3589 4939 6402 7178 9878 10767 14817 16613 21534 29634 33226 39479 43553 49839 78958 87106 99678 118437 130659 182743 236874 261318 365486 479083 548229 958166 1096458 1437249 1611461 2874498 3222922 4834383 9668766 17726071 35452142 53178213 106356426