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101194164 = 22332513733
BaseRepresentation
bin1100000100000…
…01100110110100
321001102012022000
412002001212310
5201401203124
614012535300
72336064501
oct602014664
9231365260
10101194164
1152137745
1229a81530
1317c71206
14d6224a8
158d3d6c9
hex60819b4

101194164 has 48 divisors (see below), whose sum is σ = 263471040. Its totient is φ = 33588000.

The previous prime is 101194153. The next prime is 101194169. The reversal of 101194164 is 461491101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101194169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25242 + ... + 28974.

It is an arithmetic number, because the mean of its divisors is an integer number (5488980).

Almost surely, 2101194164 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 101194164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131735520).

101194164 is an abundant number, since it is smaller than the sum of its proper divisors (162276876).

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

101194164 is a wasteful number, since it uses less digits than its factorization.

101194164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3997 (or 3989 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 101194164 is about 10059.5310029842. The cubic root of 101194164 is about 465.9991833813. Note that the first 3 decimals are identical.

The spelling of 101194164 in words is "one hundred one million, one hundred ninety-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 251 502 753 1004 1506 2259 3012 3733 4518 6777 7466 9036 11199 13554 14932 22398 27108 33597 44796 67194 100791 134388 201582 403164 936983 1873966 2810949 3747932 5621898 8432847 11243796 16865694 25298541 33731388 50597082 101194164