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103857006 = 231123312207
BaseRepresentation
bin1100011000010…
…11101101101110
321020102111000210
412030023231232
5203041411011
614150003250
72400525051
oct614135556
9236374023
10103857006
1153696340
122a946526
1318694266
14db16a98
1591b76a6
hex630bb6e

103857006 has 64 divisors (see below), whose sum is σ = 244187136. Its totient is φ = 29119200.

The previous prime is 103856999. The next prime is 103857011. The reversal of 103857006 is 600758301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45955 + ... + 48161.

It is an arithmetic number, because the mean of its divisors is an integer number (3815424).

Almost surely, 2103857006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103857006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122093568).

103857006 is an abundant number, since it is smaller than the sum of its proper divisors (140330130).

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

103857006 is a wasteful number, since it uses less digits than its factorization.

103857006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 103857006 is about 10191.0257579892. The cubic root of 103857006 is about 470.0513087188.

It can be divided in two parts, 10385 and 7006, that added together give a triangular number (17391 = T186).

The spelling of 103857006 in words is "one hundred three million, eight hundred fifty-seven thousand, six".

Divisors: 1 2 3 6 11 22 23 31 33 46 62 66 69 93 138 186 253 341 506 682 713 759 1023 1426 1518 2046 2139 2207 4278 4414 6621 7843 13242 15686 23529 24277 47058 48554 50761 68417 72831 101522 136834 145662 152283 205251 304566 410502 558371 752587 1116742 1505174 1573591 1675113 2257761 3147182 3350226 4515522 4720773 9441546 17309501 34619002 51928503 103857006