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105522804 = 22332321847
BaseRepresentation
bin1100100101000…
…10011001110100
321100120010002000
412102202121310
5204003212204
614245415300
72420633442
oct622423164
9240503060
10105522804
1154623932
122b40a530
1318b2853a
141002bb92
1593e6039
hex64a2674

105522804 has 72 divisors (see below), whose sum is σ = 286144320. Its totient is φ = 33626736.

The previous prime is 105522773. The next prime is 105522811. The reversal of 105522804 is 408225501.

It is a happy number.

It is a super-2 number, since 2×1055228042 = 22270124328044832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56209 + ... + 58055.

Almost surely, 2105522804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105522804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143072160).

105522804 is an abundant number, since it is smaller than the sum of its proper divisors (180621516).

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

105522804 is a wasteful number, since it uses less digits than its factorization.

105522804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 105522804 is about 10272.4293134584. The cubic root of 105522804 is about 472.5510955074.

The spelling of 105522804 in words is "one hundred five million, five hundred twenty-two thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 529 621 828 1058 1242 1587 1847 2116 2484 3174 3694 4761 5541 6348 7388 9522 11082 14283 16623 19044 22164 28566 33246 42481 49869 57132 66492 84962 99738 127443 169924 199476 254886 382329 509772 764658 977063 1146987 1529316 1954126 2293974 2931189 3908252 4587948 5862378 8793567 11724756 17587134 26380701 35174268 52761402 105522804