101009734 has 16 divisors (see below), whose sum is σ = 173556000. Its totient is φ = 43190784.

The previous prime is 101009729. The next prime is 101009737. The reversal of 101009734 is 437900101.

It is a junction number, because it is equal to n+sod(n) for n = 101009699 and 101009708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101009737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1749 + ... + 14320.

It is an arithmetic number, because the mean of its divisors is an integer number (10847250).

Almost surely, 2^101009734 is an apocalyptic number.

101009734 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

101009734 is a deficient number, since it is larger than the sum of its proper divisors (72546266).

101009734 is a wasteful number, since it uses less digits than its factorization.

101009734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16527.

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 101009734 is about 10050.3598940535. The cubic root of 101009734 is about 465.7159111350.

Adding to 101009734 its reverse (437900101), we get a palindrome (538909835).

The spelling of 101009734 in words is "one hundred one million, nine thousand, seven hundred thirty-four".