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101989008 = 24321131267
BaseRepresentation
bin1100001010000…
…11101010010000
321002220120121200
412011003222100
5202102122013
614041551200
72345615022
oct605035220
9232816550
10101989008
115262a940
122a1a5500
131818bc34
14d78c012
158e48e73
hex6143a90

101989008 has 180 divisors, whose sum is σ = 326546064. Its totient is φ = 29462400.

The previous prime is 101989007. The next prime is 101989021. The reversal of 101989008 is 800989101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (101989007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1522191 + ... + 1522257.

Almost surely, 2101989008 is an apocalyptic number.

101989008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101989008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163273032).

101989008 is an abundant number, since it is smaller than the sum of its proper divisors (224557056).

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

101989008 is a wasteful number, since it uses less digits than its factorization.

101989008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 101989008 is about 10098.9607386107. The cubic root of 101989008 is about 467.2160884949.

The spelling of 101989008 in words is "one hundred one million, nine hundred eighty-nine thousand, eight".