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106319010 = 2357506281
BaseRepresentation
bin1100101011001…
…00110010100010
321102001120021010
412111210302202
5204204202020
614314441350
72430460650
oct625446242
9242046233
10106319010
1155018056
122b733256
1319046a75
1410197dd0
159501de0
hex6564ca2

106319010 has 32 divisors (see below), whose sum is σ = 291618432. Its totient is φ = 24301440.

The previous prime is 106319009. The next prime is 106319023. The reversal of 106319010 is 10913601.

It is a happy number.

It is a super-2 number, since 2×1063190102 = 22607463774760200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252931 + ... + 253350.

It is an arithmetic number, because the mean of its divisors is an integer number (9113076).

Almost surely, 2106319010 is an apocalyptic number.

106319010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106319010 is an abundant number, since it is smaller than the sum of its proper divisors (185299422).

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

106319010 is a wasteful number, since it uses less digits than its factorization.

106319010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506298.

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 106319010 is about 10311.1109973659. The cubic root of 106319010 is about 473.7366391156.

The spelling of 106319010 in words is "one hundred six million, three hundred nineteen thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 506281 1012562 1518843 2531405 3037686 3543967 5062810 7087934 7594215 10631901 15188430 17719835 21263802 35439670 53159505 106319010