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100531044 = 2235591753
BaseRepresentation
bin1011111110111…
…11101101100100
321000011111200000
411333133231210
5201213443134
613550421300
72330333265
oct577375544
9230144600
10100531044
1151824509
1229801830
1317a9b433
14d4cc96c
158c5be99
hex5fdfb64

100531044 has 72 divisors (see below), whose sum is σ = 268151520. Its totient is φ = 32923584.

The previous prime is 100531043. The next prime is 100531049. The reversal of 100531044 is 440135001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100531043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56472 + ... + 58224.

Almost surely, 2100531044 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 100531044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134075760).

100531044 is an abundant number, since it is smaller than the sum of its proper divisors (167620476).

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

100531044 is a wasteful number, since it uses less digits than its factorization.

100531044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 100531044 is about 10026.5170423233. The cubic root of 100531044 is about 464.9790625328.

Adding to 100531044 its reverse (440135001), we get a palindrome (540666045).

The spelling of 100531044 in words is "one hundred million, five hundred thirty-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 236 243 324 354 486 531 708 972 1062 1593 1753 2124 3186 3506 4779 5259 6372 7012 9558 10518 14337 15777 19116 21036 28674 31554 47331 57348 63108 94662 103427 141993 189324 206854 283986 310281 413708 425979 567972 620562 851958 930843 1241124 1703916 1861686 2792529 3723372 5585058 8377587 11170116 16755174 25132761 33510348 50265522 100531044