101006146878 has 256 divisors, whose sum is σ = 265423011840. Its totient is φ = 24908083200.

The previous prime is 101006146873. The next prime is 101006146883. The reversal of 101006146878 is 878641600101.

It is an interprime number because it is at equal distance from previous prime (101006146873) and next prime (101006146883).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101006146873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101922963 + ... + 101923953.

It is an arithmetic number, because the mean of its divisors is an integer number (1036808640).

Almost surely, 2^101006146878 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101006146878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132711505920).

101006146878 is an abundant number, since it is smaller than the sum of its proper divisors (164416864962).

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

101006146878 is a wasteful number, since it uses less digits than its factorization.

101006146878 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243.

The product of its (nonzero) digits is 64512, while the sum is 42.

Adding to 101006146878 its reverse (878641600101), we get a palindrome (979647746979).

The spelling of 101006146878 in words is "one hundred one billion, six million, one hundred forty-six thousand, eight hundred seventy-eight".