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100101064 = 2371787519
BaseRepresentation
bin1011111011101…
…10101111001000
320222100122211211
411331312233020
5201111213224
613533302504
72323562560
oct575665710
9228318754
10100101064
1151560458
1229634a34
131797a7cb
14d419da0
158bc4894
hex5f76bc8

100101064 has 16 divisors (see below), whose sum is σ = 214502400. Its totient is φ = 42900432.

The previous prime is 100101041. The next prime is 100101073. The reversal of 100101064 is 460101001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 893704 + ... + 893815.

It is an arithmetic number, because the mean of its divisors is an integer number (13406400).

Almost surely, 2100101064 is an apocalyptic number.

100101064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100101064 is an abundant number, since it is smaller than the sum of its proper divisors (114401336).

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

100101064 is a wasteful number, since it uses less digits than its factorization.

100101064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787532 (or 1787528 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 100101064 is about 10005.0519239032. The cubic root of 100101064 is about 464.3151965589.

Adding to 100101064 its reverse (460101001), we get a palindrome (560202065).

The spelling of 100101064 in words is "one hundred million, one hundred one thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 56 1787519 3575038 7150076 12512633 14300152 25025266 50050532 100101064