101416041 has 6 divisors (see below), whose sum is σ = 146489850. Its totient is φ = 67610688.

The previous prime is 101416037. The next prime is 101416057. The reversal of 101416041 is 140614101.

It can be written as a sum of positive squares in only one way, i.e., 80622441 + 20793600 = 8979^2 + 4560^2 .

It is not a de Polignac number, because 101416041 - 2² = 101416037 is a prime.

It is a super-2 number, since 2×101416041² = 20570426744227362, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101416241) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5634216 + ... + 5634233.

It is an arithmetic number, because the mean of its divisors is an integer number (24414975).

Almost surely, 2^101416041 is an apocalyptic number.

It is an amenable number.

101416041 is a deficient number, since it is larger than the sum of its proper divisors (45073809).

101416041 is a wasteful number, since it uses less digits than its factorization.

101416041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11268455 (or 11268452 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 101416041 is about 10070.5531625626. The cubic root of 101416041 is about 466.3395160036.

The spelling of 101416041 in words is "one hundred one million, four hundred sixteen thousand, forty-one".