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100812195 = 3551119397
BaseRepresentation
bin1100000001001…
…00010110100011
321000200210100000
412000210112203
5201301442240
614000431043
72332614051
oct600442643
9230623300
10100812195
11519a6770
1229918483
1317b693b3
14d5631d1
158cb5430
hex60245a3

100812195 has 96 divisors (see below), whose sum is σ = 208615680. Its totient is φ = 46189440.

The previous prime is 100812139. The next prime is 100812209. The reversal of 100812195 is 591218001.

It is not a de Polignac number, because 100812195 - 27 = 100812067 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 253737 + ... + 254133.

It is an arithmetic number, because the mean of its divisors is an integer number (2173080).

Almost surely, 2100812195 is an apocalyptic number.

100812195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100812195 is an abundant number, since it is smaller than the sum of its proper divisors (107803485).

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

100812195 is a wasteful number, since it uses less digits than its factorization.

100812195 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 100812195 is about 10040.5276255782. The cubic root of 100812195 is about 465.4121216284.

It can be divided in two parts, 1008 and 12195, that added together give a triangular number (13203 = T162).

The spelling of 100812195 in words is "one hundred million, eight hundred twelve thousand, one hundred ninety-five".

Divisors: 1 3 5 9 11 15 19 27 33 45 55 57 81 95 99 135 165 171 209 243 285 297 397 405 495 513 627 855 891 1045 1191 1215 1485 1539 1881 1985 2565 2673 3135 3573 4367 4455 4617 5643 5955 7543 7695 9405 10719 13101 13365 16929 17865 21835 22629 23085 28215 32157 37715 39303 50787 53595 65505 67887 82973 84645 96471 113145 117909 160785 196515 203661 248919 253935 339435 353727 414865 482355 589545 610983 746757 1018305 1061181 1244595 1768635 1832949 2240271 3054915 3733785 5305905 6720813 9164745 11201355 20162439 33604065 100812195