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105520400 = 24522511051
BaseRepresentation
bin1100100101000…
…01110100010000
321100112222202222
412102201310100
5204003123100
614245400212
72420623436
oct622416420
9240488688
10105520400
1154622047
122b409068
1318b2740b
141002ad56
1593e5485
hex64a1d10

105520400 has 60 divisors (see below), whose sum is σ = 254764944. Its totient is φ = 42000000.

The previous prime is 105520399. The next prime is 105520421. The reversal of 105520400 is 4025501.

It is a super-2 number, since 2×1055204002 = 22269109632320000, which contains 22 as substring.

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, 99875 + ... + 100925.

Almost surely, 2105520400 is an apocalyptic number.

105520400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127382472).

105520400 is an abundant number, since it is smaller than the sum of its proper divisors (149244544).

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

105520400 is a wasteful number, since it uses less digits than its factorization.

105520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 105520400 is about 10272.3123005485. The cubic root of 105520400 is about 472.5475069578.

Adding to 105520400 its reverse (4025501), we get a palindrome (109545901).

The spelling of 105520400 in words is "one hundred five million, five hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 251 400 502 1004 1051 1255 2008 2102 2510 4016 4204 5020 5255 6275 8408 10040 10510 12550 16816 20080 21020 25100 26275 42040 50200 52550 84080 100400 105100 210200 263801 420400 527602 1055204 1319005 2110408 2638010 4220816 5276020 6595025 10552040 13190050 21104080 26380100 52760200 105520400