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106555920 = 2435443983
BaseRepresentation
bin1100101100111…
…10101000010000
321102111121020120
412112132220100
5204234242140
614323510240
72432465442
oct626365020
9242447216
10106555920
115516a049
122b828380
13190ca853
141021a492
15954c1d0
hex659ea10

106555920 has 40 divisors (see below), whose sum is σ = 330324096. Its totient is φ = 28414848.

The previous prime is 106555919. The next prime is 106555927. The reversal of 106555920 is 29555601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1065559202 = 22708328174092800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106555927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221752 + ... + 222231.

Almost surely, 2106555920 is an apocalyptic number.

106555920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106555920 is an abundant number, since it is smaller than the sum of its proper divisors (223768176).

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

106555920 is a wasteful number, since it uses less digits than its factorization.

106555920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443999 (or 443993 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

The square root of 106555920 is about 10322.5926975736. The cubic root of 106555920 is about 474.0882528974.

The spelling of 106555920 in words is "one hundred six million, five hundred fifty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 443983 887966 1331949 1775932 2219915 2663898 3551864 4439830 5327796 6659745 7103728 8879660 10655592 13319490 17759320 21311184 26638980 35518640 53277960 106555920