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106008376110 = 235713172134363
BaseRepresentation
bin110001010111010010…
…1110111001100101110
3101010121220110110210020
41202232211313030232
53214101121013420
6120411035223010
710441662221010
oct1425645671456
9333556413706
10106008376110
1140a59a67a9a
1218665ba7a66
139cc554bb90
1451b90101b0
152b56979340
hex18ae97732e

106008376110 has 192 divisors, whose sum is σ = 332637967872. Its totient is φ = 21050763264.

The previous prime is 106008376099. The next prime is 106008376157. The reversal of 106008376110 is 11673800601.

It is a super-2 number, since 2×1060083761102 (a number of 23 digits) 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 95 ways as a sum of consecutive naturals, for example, 721789 + ... + 856151.

It is an arithmetic number, because the mean of its divisors is an integer number (1732489416).

Almost surely, 2106008376110 is an apocalyptic number.

106008376110 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 106008376110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166318983936).

106008376110 is an abundant number, since it is smaller than the sum of its proper divisors (226629591762).

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

106008376110 is a wasteful number, since it uses less digits than its factorization.

106008376110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134427 (or 134410 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 106008376110 in words is "one hundred six billion, eight million, three hundred seventy-six thousand, one hundred ten".