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101102196 = 223131767569
BaseRepresentation
bin1100000011010…
…11001001110100
321001020112010210
412001223021310
5201340232241
614010545420
72335232406
oct601531164
9231215123
10101102196
1152084638
1229a38270
1317c3b3b0
14d5dab76
158d21316
hex606b274

101102196 has 96 divisors (see below), whose sum is σ = 273490560. Its totient is φ = 28790784.

The previous prime is 101102189. The next prime is 101102203. The reversal of 101102196 is 691201101.

It is an interprime number because it is at equal distance from previous prime (101102189) and next prime (101102203).

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, 177400 + ... + 177968.

It is an arithmetic number, because the mean of its divisors is an integer number (2848860).

Almost surely, 2101102196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101102196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136745280).

101102196 is an abundant number, since it is smaller than the sum of its proper divisors (172388364).

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

101102196 is a wasteful number, since it uses less digits than its factorization.

101102196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The square root of 101102196 is about 10054.9587766435. The cubic root of 101102196 is about 465.8579696955.

Adding to 101102196 its reverse (691201101), we get a palindrome (792303297).

The spelling of 101102196 in words is "one hundred one million, one hundred two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 67 68 78 102 134 156 201 204 221 268 402 442 569 663 804 871 884 1138 1139 1326 1707 1742 2276 2278 2613 2652 3414 3417 3484 4556 5226 6828 6834 7397 9673 10452 13668 14794 14807 19346 22191 29019 29588 29614 38123 38692 44382 44421 58038 59228 76246 88764 88842 114369 116076 125749 152492 177684 228738 251498 377247 457476 495599 502996 648091 754494 991198 1296182 1486797 1508988 1944273 1982396 2592364 2973594 3888546 5947188 7777092 8425183 16850366 25275549 33700732 50551098 101102196