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106103826 = 23250311719
BaseRepresentation
bin1100101001100…
…00010000010010
321101122122002100
412110300100102
5204130310301
614310101230
72425603413
oct624602022
9241578070
10106103826
1154990414
122b64a816
1318c9cb3a
141013d80a
1594ad286
hex6530412

106103826 has 24 divisors (see below), whose sum is σ = 230368320. Its totient is φ = 35294616.

The previous prime is 106103819. The next prime is 106103839. The reversal of 106103826 is 628301601.

106103826 is a `hidden beast` number, since 10 + 610 + 38 + 2 + 6 = 666.

It is a super-2 number, since 2×1061038262 = 22516043783676552, 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 106103826.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3195 + ... + 14913.

It is an arithmetic number, because the mean of its divisors is an integer number (9598680).

Almost surely, 2106103826 is an apocalyptic number.

106103826 is an abundant number, since it is smaller than the sum of its proper divisors (124264494).

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

106103826 is a wasteful number, since it uses less digits than its factorization.

106103826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12230 (or 12227 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106103826 is about 10300.6711431829. The cubic root of 106103826 is about 473.4168173627.

It can be divided in two parts, 106103 and 826, that added together give a square (106929 = 3272).

The spelling of 106103826 in words is "one hundred six million, one hundred three thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 9 18 503 1006 1509 3018 4527 9054 11719 23438 35157 70314 105471 210942 5894657 11789314 17683971 35367942 53051913 106103826