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102104632 = 23721913709
BaseRepresentation
bin1100001010111…
…11111000111000
321010010110020001
412011133320320
5202114322012
614044242344
72346606100
oct605377070
9233113201
10102104632
11526a97a3
122a2403b4
13181cc756
14d7bc200
158e6d357
hex615fe38

102104632 has 48 divisors (see below), whose sum is σ = 234441000. Its totient is φ = 41452992.

The previous prime is 102104617. The next prime is 102104641. The reversal of 102104632 is 236401201.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 594 + ... + 14302.

Almost surely, 2102104632 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 102104632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117220500).

102104632 is an abundant number, since it is smaller than the sum of its proper divisors (132336368).

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

102104632 is a wasteful number, since it uses less digits than its factorization.

102104632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13748 (or 13737 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 102104632 is about 10104.6836664984. The cubic root of 102104632 is about 467.3925813425.

Adding to 102104632 its reverse (236401201), we get a palindrome (338505833).

The spelling of 102104632 in words is "one hundred two million, one hundred four thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 392 532 931 1064 1862 3724 7448 13709 27418 54836 95963 109672 191926 260471 383852 520942 671741 767704 1041884 1343482 1823297 2083768 2686964 3646594 5373928 7293188 12763079 14586376 25526158 51052316 102104632