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105520100 = 22527150743
BaseRepresentation
bin1100100101000…
…01101111100100
321100112222100212
412102201233210
5204003120400
614245354552
72420622530
oct622415744
9240488325
10105520100
11546218a4
122b408a58
1318b2723a
141002abc0
1593e5335
hex64a1be4

105520100 has 36 divisors (see below), whose sum is σ = 261691584. Its totient is φ = 36178080.

The previous prime is 105520099. The next prime is 105520147. The reversal of 105520100 is 1025501.

It is a super-2 number, since 2×1055201002 = 22268983008020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74672 + ... + 76071.

Almost surely, 2105520100 is an apocalyptic number.

105520100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105520100 is an abundant number, since it is smaller than the sum of its proper divisors (156171484).

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

105520100 is a wasteful number, since it uses less digits than its factorization.

105520100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150764 (or 150757 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 105520100 is about 10272.2976981783. The cubic root of 105520100 is about 472.5470591316.

Adding to 105520100 its reverse (1025501), we get a palindrome (106545601).

The spelling of 105520100 in words is "one hundred five million, five hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 150743 301486 602972 753715 1055201 1507430 2110402 3014860 3768575 4220804 5276005 7537150 10552010 15074300 21104020 26380025 52760050 105520100