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101106990 = 23251766083
BaseRepresentation
bin1100000011011…
…00010100101110
321001020202201100
412001230110232
5201340410430
614011023530
72335252365
oct601542456
9231222640
10101106990
11520881a6
1229a3aba6
1317c4062a
14d5dc7dc
158d22960
hex606c52e

101106990 has 48 divisors (see below), whose sum is σ = 278345808. Its totient is φ = 25375488.

The previous prime is 101106989. The next prime is 101106991. The reversal of 101106990 is 99601101.

It is an interprime number because it is at equal distance from previous prime (101106989) and next prime (101106991).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101106991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31512 + ... + 34571.

It is an arithmetic number, because the mean of its divisors is an integer number (5798871).

Almost surely, 2101106990 is an apocalyptic number.

101106990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101106990 is an abundant number, since it is smaller than the sum of its proper divisors (177238818).

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

101106990 is a wasteful number, since it uses less digits than its factorization.

101106990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66113 (or 66110 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The square root of 101106990 is about 10055.1971636562. The cubic root of 101106990 is about 465.8653328320.

The spelling of 101106990 in words is "one hundred one million, one hundred six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 66083 132166 198249 330415 396498 594747 660830 991245 1123411 1189494 1982490 2246822 2973735 3370233 5617055 5947470 6740466 10110699 11234110 16851165 20221398 33702330 50553495 101106990