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10105432452 = 2233292313797
BaseRepresentation
bin10010110100101010…
…01010100110000100
3222002021011011021000
421122111022212010
5131143442314302
64350430253300
7505264521123
oct113225124604
928067134230
1010105432452
114316286a75
121b60357230
13c507b383b
146bc169aba
153e228731c
hex25a54a984

10105432452 has 288 divisors, whose sum is σ = 29062691840. Its totient is φ = 3030773760.

The previous prime is 10105432439. The next prime is 10105432507. The reversal of 10105432452 is 25423450101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104179668 + ... + 104179764.

Almost surely, 210105432452 is an apocalyptic number.

10105432452 is a gapful number since it is divisible by the number (12) 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 10105432452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14531345920).

10105432452 is an abundant number, since it is smaller than the sum of its proper divisors (18957259388).

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

10105432452 is a wasteful number, since it uses less digits than its factorization.

10105432452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10105432452 its reverse (25423450101), we get a palindrome (35528882553).

The spelling of 10105432452 in words is "ten billion, one hundred five million, four hundred thirty-two thousand, four hundred fifty-two".