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100106110050 = 23527924135053
BaseRepresentation
bin101110100111011001…
…0100000010001100010
3100120101120022021212120
41131032302200101202
53120004131010200
6113553233205110
710142502616152
oct1351662402142
9316346267776
10100106110050
1139500320161
1217499400796
1395947b235b
144bb91a2762
15290d6e99a0
hex174eca0462

100106110050 has 96 divisors (see below), whose sum is σ = 252456103680. Its totient is φ = 26246937600.

The previous prime is 100106109991. The next prime is 100106110051. The reversal of 100106110050 is 50011601001.

Adding to 100106110050 its reverse (50011601001), we get a palindrome (150117711051).

100106110050 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1001061100502 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (100106110051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2838324 + ... + 2873376.

It is an arithmetic number, because the mean of its divisors is an integer number (2629751080).

Almost surely, 2100106110050 is an apocalyptic number.

100106110050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100106110050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126228051840).

100106110050 is an abundant number, since it is smaller than the sum of its proper divisors (152349993630).

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

100106110050 is a wasteful number, since it uses less digits than its factorization.

100106110050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35388 (or 35383 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

The spelling of 100106110050 in words is "one hundred billion, one hundred six million, one hundred ten thousand, fifty".