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108070100 = 225219232473
BaseRepresentation
bin1100111000100…
…00010011010100
321112100112022022
412130100103110
5210131220400
614420152312
72451403115
oct634202324
9245315268
10108070100
1156003736
1230238698
131950ab08
14104d220c
15974ab85
hex67104d4

108070100 has 72 divisors (see below), whose sum is σ = 257691840. Its totient is φ = 39156480.

The previous prime is 108070097. The next prime is 108070103. The reversal of 108070100 is 1070801.

It is an interprime number because it is at equal distance from previous prime (108070097) and next prime (108070103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108070103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42464 + ... + 44936.

Almost surely, 2108070100 is an apocalyptic number.

108070100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108070100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128845920).

108070100 is an abundant number, since it is smaller than the sum of its proper divisors (149621740).

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

108070100 is a wasteful number, since it uses less digits than its factorization.

108070100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 108070100 is about 10395.6769861323. The cubic root of 108070100 is about 476.3233273930.

The spelling of 108070100 in words is "one hundred eight million, seventy thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 23 25 38 46 50 76 92 95 100 115 190 230 380 437 460 475 575 874 950 1150 1748 1900 2185 2300 2473 4370 4946 8740 9892 10925 12365 21850 24730 43700 46987 49460 56879 61825 93974 113758 123650 187948 227516 234935 247300 284395 469870 568790 939740 1080701 1137580 1174675 1421975 2161402 2349350 2843950 4322804 4698700 5403505 5687900 10807010 21614020 27017525 54035050 108070100