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100666098 = 23313193743
BaseRepresentation
bin1100000000000…
…00101011110010
321000102100221000
412000000223302
5201232303343
613553342430
72331435111
oct600005362
9230370830
10100666098
1151906a25
1229867a16
1317b17a50
14d525c78
158c86ed3
hex6000af2

100666098 has 64 divisors (see below), whose sum is σ = 242484480. Its totient is φ = 30772224.

The previous prime is 100666091. The next prime is 100666103. The reversal of 100666098 is 890666001.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (100666091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135115 + ... + 135857.

It is an arithmetic number, because the mean of its divisors is an integer number (3788820).

Almost surely, 2100666098 is an apocalyptic number.

100666098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100666098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121242240).

100666098 is an abundant number, since it is smaller than the sum of its proper divisors (141818382).

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

100666098 is a wasteful number, since it uses less digits than its factorization.

100666098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 100666098 is about 10033.2496231281. The cubic root of 100666098 is about 465.1871879040.

The spelling of 100666098 in words is "one hundred million, six hundred sixty-six thousand, ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 193 234 351 386 579 702 743 1158 1486 1737 2229 2509 3474 4458 5018 5211 6687 7527 9659 10422 13374 15054 19318 20061 22581 28977 40122 45162 57954 67743 86931 135486 143399 173862 260793 286798 430197 521586 860394 1290591 1864187 2581182 3728374 3871773 5592561 7743546 11185122 16777683 33555366 50333049 100666098