Search a number
-
+
105881490 = 2325111319433
BaseRepresentation
bin1100100111110…
…01111110010010
321101020100002200
412103321332102
5204101201430
614301224030
72423656251
oct623717622
9241210080
10105881490
1154849370
122b562016
1318c22890
14100c2798
159467460
hex64f9f92

105881490 has 192 divisors, whose sum is σ = 341228160. Its totient is φ = 22394880.

The previous prime is 105881483. The next prime is 105881527. The reversal of 105881490 is 94188501.

It is a super-2 number, since 2×1058814902 = 22421779849240200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 244314 + ... + 244746.

It is an arithmetic number, because the mean of its divisors is an integer number (1777230).

Almost surely, 2105881490 is an apocalyptic number.

105881490 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 105881490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170614080).

105881490 is an abundant number, since it is smaller than the sum of its proper divisors (235346670).

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

105881490 is a wasteful number, since it uses less digits than its factorization.

105881490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 105881490 is about 10289.8731770610. The cubic root of 105881490 is about 473.0859112678.

The spelling of 105881490 in words is "one hundred five million, eight hundred eighty-one thousand, four hundred ninety".