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100721296 = 241321932
BaseRepresentation
bin1100000000011…
…10001010010000
321000112011122101
412000032022100
5201241040141
613554450144
72332055044
oct600161220
9230464571
10100721296
1151944445
1229893954
1317b36c00
14d53c024
158c98531
hex600e290

100721296 has 45 divisors (see below), whose sum is σ = 212414139. Its totient is φ = 46245888.

The previous prime is 100721281. The next prime is 100721317. The reversal of 100721296 is 692127001.

It is a happy number.

The square root of 100721296 is 10036.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 37994896 + 62726400 = 6164^2 + 7920^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 521776 + ... + 521968.

Almost surely, 2100721296 is an apocalyptic number.

100721296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

100721296 is the 10036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100721296

100721296 is an abundant number, since it is smaller than the sum of its proper divisors (111692843).

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

100721296 is an equidigital number, since it uses as much as digits as its factorization.

100721296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The cubic root of 100721296 is about 465.2721973597.

Adding to 100721296 its reverse (692127001), we get a palindrome (792848297).

The spelling of 100721296 in words is "one hundred million, seven hundred twenty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 193 208 338 386 676 772 1352 1544 2509 2704 3088 5018 10036 20072 32617 37249 40144 65234 74498 130468 148996 260936 297992 484237 521872 595984 968474 1936948 3873896 6295081 7747792 12590162 25180324 50360648 100721296