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106059578208 = 2535212120513
BaseRepresentation
bin110001011000110100…
…1001011101101100000
3101010202110210210212020
41202301221023231200
53214202223000313
6120420104501440
710443153353163
oct1426151135540
9333673723766
10106059578208
1140a85959981
121867b17a880
13a00303848c
1451c1b3bada
152b5b1e0323
hex18b1a4bb60

106059578208 has 48 divisors (see below), whose sum is σ = 278940893616. Its totient is φ = 35285319680.

The previous prime is 106059578167. The next prime is 106059578249. The reversal of 106059578208 is 802875950601.

It is an interprime number because it is at equal distance from previous prime (106059578167) and next prime (106059578249).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1060595782082 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1010241 + ... + 1110272.

It is an arithmetic number, because the mean of its divisors is an integer number (5811268617).

Almost surely, 2106059578208 is an apocalyptic number.

It is an amenable number.

106059578208 is an abundant number, since it is smaller than the sum of its proper divisors (172881315408).

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

106059578208 is a wasteful number, since it uses less digits than its factorization.

106059578208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121047 (or 2121039 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 51.

The spelling of 106059578208 in words is "one hundred six billion, fifty-nine million, five hundred seventy-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 521 1042 1563 2084 3126 4168 6252 8336 12504 16672 25008 50016 2120513 4241026 6361539 8482052 12723078 16964104 25446156 33928208 50892312 67856416 101784624 203569248 1104787273 2209574546 3314361819 4419149092 6628723638 8838298184 13257447276 17676596368 26514894552 35353192736 53029789104 106059578208