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106195803480 = 233251331731981
BaseRepresentation
bin110001011100111000…
…0110101110101011000
3101011002222010202210200
41202321300311311120
53214442111202410
6120441412342200
710446426302334
oct1427160656530
9334088122720
10106195803480
1141045842a48
12186b8914960
13a025323650
1451d5c7c7c4
152b6814d3c0
hex18b9c35d58

106195803480 has 192 divisors, whose sum is σ = 383675685120. Its totient is φ = 25297228800.

The previous prime is 106195803479. The next prime is 106195803551. The reversal of 106195803480 is 84308591601.

106195803480 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 95 + 80 + 3 + 480 = 666.

It is a super-2 number, since 2×1061958034802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220911 + ... + 511070.

It is an arithmetic number, because the mean of its divisors is an integer number (1998310860).

Almost surely, 2106195803480 is an apocalyptic number.

106195803480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106195803480 is an abundant number, since it is smaller than the sum of its proper divisors (277479881640).

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

106195803480 is a wasteful number, since it uses less digits than its factorization.

106195803480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732042 (or 732035 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 106195803480 in words is "one hundred six billion, one hundred ninety-five million, eight hundred three thousand, four hundred eighty".