101006115 has 32 divisors (see below), whose sum is σ = 189696000. Its totient is φ = 44924544.

The previous prime is 101006099. The next prime is 101006117. The reversal of 101006115 is 511600101.

It is not a de Polignac number, because 101006115 - 2⁴ = 101006099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 101006094 and 101006103.

It is not an unprimeable number, because it can be changed into a prime (101006117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9115 + ... + 16884.

It is an arithmetic number, because the mean of its divisors is an integer number (5928000).

Almost surely, 2^101006115 is an apocalyptic number.

101006115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101006115 is a deficient number, since it is larger than the sum of its proper divisors (88689885).

101006115 is a wasteful number, since it uses less digits than its factorization.

101006115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26051.

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 101006115 is about 10050.1798491370. The cubic root of 101006115 is about 465.7103491429.

Adding to 101006115 its reverse (511600101), we get a palindrome (612606216).

The spelling of 101006115 in words is "one hundred one million, six thousand, one hundred fifteen".