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106360290 = 2345196911
BaseRepresentation
bin1100101011011…
…10110111100010
321102010122220000
412111232313202
5204212012130
614315400430
72431022211
oct625566742
9242118800
10106360290
1155046073
122b753116
131905c7aa
14101a9078
15950e260
hex656ede2

106360290 has 80 divisors (see below), whose sum is σ = 301086720. Its totient is φ = 26866080.

The previous prime is 106360283. The next prime is 106360301. The reversal of 106360290 is 92063601.

It is a happy number.

106360290 is a `hidden beast` number, since 1 + 0 + 636 + 0 + 29 + 0 = 666.

It is a super-2 number, since 2×1063602902 = 22625022577768200, which contains 22 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11935 + ... + 18845.

It is an arithmetic number, because the mean of its divisors is an integer number (3763584).

Almost surely, 2106360290 is an apocalyptic number.

106360290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106360290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150543360).

106360290 is an abundant number, since it is smaller than the sum of its proper divisors (194726430).

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

106360290 is a wasteful number, since it uses less digits than its factorization.

106360290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6949 (or 6940 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 106360290 is about 10313.1125272635. The cubic root of 106360290 is about 473.7979430413.

The spelling of 106360290 in words is "one hundred six million, three hundred sixty thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 810 855 1026 1539 1710 2565 3078 5130 6911 7695 13822 15390 20733 34555 41466 62199 69110 103665 124398 131309 186597 207330 262618 310995 373194 393927 559791 621990 656545 787854 932985 1119582 1181781 1313090 1865970 1969635 2363562 2798955 3545343 3939270 5597910 5908905 7090686 10636029 11817810 17726715 21272058 35453430 53180145 106360290