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106981488 = 24323472141
BaseRepresentation
bin1100110000001…
…10100001110000
321110022020000100
412120012201300
5204341401423
614340552400
72436220245
oct630064160
9243266010
10106981488
115542a859
122b9b2700
1319219473
14102cb5cc
1595d3343
hex6606870

106981488 has 60 divisors (see below), whose sum is σ = 300402648. Its totient is φ = 35541120.

The previous prime is 106981481. The next prime is 106981499. The reversal of 106981488 is 884189601.

It is a super-2 number, since 2×1069814882 = 22890077549388288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106981481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48898 + ... + 51038.

Almost surely, 2106981488 is an apocalyptic number.

106981488 is a gapful number since it is divisible by the number (18) 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 106981488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150201324).

106981488 is an abundant number, since it is smaller than the sum of its proper divisors (193421160).

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

106981488 is a wasteful number, since it uses less digits than its factorization.

106981488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 106981488 is about 10343.1855827883. The cubic root of 106981488 is about 474.7185597785.

The spelling of 106981488 in words is "one hundred six million, nine hundred eighty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 347 694 1041 1388 2082 2141 2776 3123 4164 4282 5552 6246 6423 8328 8564 12492 12846 16656 17128 19269 24984 25692 34256 38538 49968 51384 77076 102768 154152 308304 742927 1485854 2228781 2971708 4457562 5943416 6686343 8915124 11886832 13372686 17830248 26745372 35660496 53490744 106981488