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106491870 = 23252295167
BaseRepresentation
bin1100101100011…
…10111111011110
321102101100101100
412112032333132
5204230214440
614322253530
72432110632
oct626167736
9242340340
10106491870
1155125a11
122b7b72a6
13190a7654
1410200dc2
159538230
hex658efde

106491870 has 48 divisors (see below), whose sum is σ = 278141760. Its totient is φ = 28268352.

The previous prime is 106491839. The next prime is 106491887. The reversal of 106491870 is 78194601.

106491870 is a `hidden beast` number, since 1 + 0 + 649 + 1 + 8 + 7 + 0 = 666.

It is a super-2 number, since 2×1064918702 = 22681036752193800, which contains 22 as substring.

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, 18027 + ... + 23193.

It is an arithmetic number, because the mean of its divisors is an integer number (5794620).

Almost surely, 2106491870 is an apocalyptic number.

106491870 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 106491870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139070880).

106491870 is an abundant number, since it is smaller than the sum of its proper divisors (171649890).

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

106491870 is a wasteful number, since it uses less digits than its factorization.

106491870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5409 (or 5406 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 106491870 is about 10319.4898129704. The cubic root of 106491870 is about 473.9932435078.

The spelling of 106491870 in words is "one hundred six million, four hundred ninety-one thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 229 458 687 1145 1374 2061 2290 3435 4122 5167 6870 10305 10334 15501 20610 25835 31002 46503 51670 77505 93006 155010 232515 465030 1183243 2366486 3549729 5916215 7099458 10649187 11832430 17748645 21298374 35497290 53245935 106491870