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106195149060 = 2235721121322963
BaseRepresentation
bin110001011100110111…
…0010110000100000100
3101011002220220112002220
41202321232112010010
53214441424232220
6120441350332340
710446420605400
oct1427156260404
9334086815086
10106195149060
1141045436300
12186b865a0b0
13a025154810
1451d5b4c100
152b6806e540
hex18b9b96104

106195149060 has 432 divisors, whose sum is σ = 409459877568. Its totient is φ = 20368212480.

The previous prime is 106195148989. The next prime is 106195149061. The reversal of 106195149060 is 60941591601.

It is a super-2 number, since 2×1061951490602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (106195149061) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4613139 + ... + 4636101.

Almost surely, 2106195149060 is an apocalyptic number.

106195149060 is a gapful number since it is divisible by the number (10) 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 106195149060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204729938784).

106195149060 is an abundant number, since it is smaller than the sum of its proper divisors (303264728508).

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

106195149060 is a wasteful number, since it uses less digits than its factorization.

106195149060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23024 (or 23004 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

It can be divided in two parts, 106195 and 149060, that added together give a triangular number (255255 = T714).

The spelling of 106195149060 in words is "one hundred six billion, one hundred ninety-five million, one hundred forty-nine thousand, sixty".